Finding the Third Proportional to 32,796 and 72,482

Step by Step Solution

1. Step 1: Write the proportion equation
   32,796 : 72,482 = 72,482 : x
2. Step 2: Convert to fraction form
   32,796/72,482 = 72,482/x
3. Step 3: Cross multiply
   32,796x = 72,482 × 72,482
4. Step 4: Simplify right side
   32,796x = 5,253,640,324
5. Step 5: Solve for x
   x = 5,253,640,324/32,796
6. Step 6: Final answer
   x = 160,191.50