Finding the Third Proportional to 10,766,043,181,542 and 23,164,955,613,116

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766,043,181,542 : 23,164,955,613,116 = 23,164,955,613,116 : x
2. Step 2: Convert to fraction form
   10,766,043,181,542/23,164,955,613,116 = 23,164,955,613,116/x
3. Step 3: Cross multiply
   10,766,043,181,542x = 23,164,955,613,116 × 23,164,955,613,116
4. Step 4: Simplify right side
   10,766,043,181,542x = 536,615,168,557,634,464,247,709,696
5. Step 5: Solve for x
   x = 536,615,168,557,634,464,247,709,696/10,766,043,181,542
6. Step 6: Final answer
   x = 49,843,304,499,989.58