Finding the Third Proportional to 10,173,114,398 and 13,740,458,799

Step by Step Solution

1. Step 1: Write the proportion equation
   10,173,114,398 : 13,740,458,799 = 13,740,458,799 : x
2. Step 2: Convert to fraction form
   10,173,114,398/13,740,458,799 = 13,740,458,799/x
3. Step 3: Cross multiply
   10,173,114,398x = 13,740,458,799 × 13,740,458,799
4. Step 4: Simplify right side
   10,173,114,398x = 188,800,208,007,016,513,536
5. Step 5: Solve for x
   x = 188,800,208,007,016,513,536/10,173,114,398
6. Step 6: Final answer
   x = 18,558,742,251.45