Finding the Third Proportional to 32,960 and 72,472

Step by Step Solution

1. Step 1: Write the proportion equation
   32,960 : 72,472 = 72,472 : x
2. Step 2: Convert to fraction form
   32,960/72,472 = 72,472/x
3. Step 3: Cross multiply
   32,960x = 72,472 × 72,472
4. Step 4: Simplify right side
   32,960x = 5,252,190,784
5. Step 5: Solve for x
   x = 5,252,190,784/32,960
6. Step 6: Final answer
   x = 159,350.45