Finding the Third Proportional to 34,902 and 72,753.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,902 : 72,753.75 = 72,753.75 : x
2. Step 2: Convert to fraction form
   34,902/72,753.75 = 72,753.75/x
3. Step 3: Cross multiply
   34,902x = 72,753.75 × 72,753.75
4. Step 4: Simplify right side
   34,902x = 5,293,108,139.06
5. Step 5: Solve for x
   x = 5,293,108,139.06/34,902
6. Step 6: Final answer
   x = 151,656.30