Finding the Third Proportional to 34,517 and 72,499

Step by Step Solution

1. Step 1: Write the proportion equation
   34,517 : 72,499 = 72,499 : x
2. Step 2: Convert to fraction form
   34,517/72,499 = 72,499/x
3. Step 3: Cross multiply
   34,517x = 72,499 × 72,499
4. Step 4: Simplify right side
   34,517x = 5,256,105,001
5. Step 5: Solve for x
   x = 5,256,105,001/34,517
6. Step 6: Final answer
   x = 152,275.84