Finding the Third Proportional to 34,888,243,125 and 76,090,891,092

Step by Step Solution

1. Step 1: Write the proportion equation
   34,888,243,125 : 76,090,891,092 = 76,090,891,092 : x
2. Step 2: Convert to fraction form
   34,888,243,125/76,090,891,092 = 76,090,891,092/x
3. Step 3: Cross multiply
   34,888,243,125x = 76,090,891,092 × 76,090,891,092
4. Step 4: Simplify right side
   34,888,243,125x = 5,789,823,707,174,605,422,592
5. Step 5: Solve for x
   x = 5,789,823,707,174,605,422,592/34,888,243,125
6. Step 6: Final answer
   x = 165,953,432,691.65