Finding the Third Proportional to 7,766,649,730 and 17,116,390,028

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766,649,730 : 17,116,390,028 = 17,116,390,028 : x
2. Step 2: Convert to fraction form
   7,766,649,730/17,116,390,028 = 17,116,390,028/x
3. Step 3: Cross multiply
   7,766,649,730x = 17,116,390,028 × 17,116,390,028
4. Step 4: Simplify right side
   7,766,649,730x = 292,970,807,590,617,841,664
5. Step 5: Solve for x
   x = 292,970,807,590,617,841,664/7,766,649,730
6. Step 6: Final answer
   x = 37,721,645,468.18