Finding the Third Proportional to 32,746 and 71,488

Step by Step Solution

1. Step 1: Write the proportion equation
   32,746 : 71,488 = 71,488 : x
2. Step 2: Convert to fraction form
   32,746/71,488 = 71,488/x
3. Step 3: Cross multiply
   32,746x = 71,488 × 71,488
4. Step 4: Simplify right side
   32,746x = 5,110,534,144
5. Step 5: Solve for x
   x = 5,110,534,144/32,746
6. Step 6: Final answer
   x = 156,065.91