Finding the Third Proportional to 32,882 and 71,020

Step by Step Solution

1. Step 1: Write the proportion equation
   32,882 : 71,020 = 71,020 : x
2. Step 2: Convert to fraction form
   32,882/71,020 = 71,020/x
3. Step 3: Cross multiply
   32,882x = 71,020 × 71,020
4. Step 4: Simplify right side
   32,882x = 5,043,840,400
5. Step 5: Solve for x
   x = 5,043,840,400/32,882
6. Step 6: Final answer
   x = 153,392.14