Finding the Third Proportional to 32,964 and 72,480

Step by Step Solution

1. Step 1: Write the proportion equation
   32,964 : 72,480 = 72,480 : x
2. Step 2: Convert to fraction form
   32,964/72,480 = 72,480/x
3. Step 3: Cross multiply
   32,964x = 72,480 × 72,480
4. Step 4: Simplify right side
   32,964x = 5,253,350,400
5. Step 5: Solve for x
   x = 5,253,350,400/32,964
6. Step 6: Final answer
   x = 159,366.29