Finding the Third Proportional to 32,952 and 72,466

Step by Step Solution

1. Step 1: Write the proportion equation
   32,952 : 72,466 = 72,466 : x
2. Step 2: Convert to fraction form
   32,952/72,466 = 72,466/x
3. Step 3: Cross multiply
   32,952x = 72,466 × 72,466
4. Step 4: Simplify right side
   32,952x = 5,251,321,156
5. Step 5: Solve for x
   x = 5,251,321,156/32,952
6. Step 6: Final answer
   x = 159,362.74