Finding the Third Proportional to 34,720 and 71,902

Step by Step Solution

1. Step 1: Write the proportion equation
   34,720 : 71,902 = 71,902 : x
2. Step 2: Convert to fraction form
   34,720/71,902 = 71,902/x
3. Step 3: Cross multiply
   34,720x = 71,902 × 71,902
4. Step 4: Simplify right side
   34,720x = 5,169,897,604
5. Step 5: Solve for x
   x = 5,169,897,604/34,720
6. Step 6: Final answer
   x = 148,902.58