Finding the Third Proportional to 32,531 and 71,012

Step by Step Solution

1. Step 1: Write the proportion equation
   32,531 : 71,012 = 71,012 : x
2. Step 2: Convert to fraction form
   32,531/71,012 = 71,012/x
3. Step 3: Cross multiply
   32,531x = 71,012 × 71,012
4. Step 4: Simplify right side
   32,531x = 5,042,704,144
5. Step 5: Solve for x
   x = 5,042,704,144/32,531
6. Step 6: Final answer
   x = 155,012.27