Finding the Third Proportional to 32,947 and 71,065

Step by Step Solution

1. Step 1: Write the proportion equation
   32,947 : 71,065 = 71,065 : x
2. Step 2: Convert to fraction form
   32,947/71,065 = 71,065/x
3. Step 3: Cross multiply
   32,947x = 71,065 × 71,065
4. Step 4: Simplify right side
   32,947x = 5,050,234,225
5. Step 5: Solve for x
   x = 5,050,234,225/32,947
6. Step 6: Final answer
   x = 153,283.58