Finding the Third Proportional to 34,776 and 72,480

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 72,480 = 72,480 : x
2. Step 2: Convert to fraction form
   34,776/72,480 = 72,480/x
3. Step 3: Cross multiply
   34,776x = 72,480 × 72,480
4. Step 4: Simplify right side
   34,776x = 5,253,350,400
5. Step 5: Solve for x
   x = 5,253,350,400/34,776
6. Step 6: Final answer
   x = 151,062.53