Finding the Third Proportional to 32,584 and 71,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 71,404.50 = 71,404.50 : x
2. Step 2: Convert to fraction form
   32,584/71,404.50 = 71,404.50/x
3. Step 3: Cross multiply
   32,584x = 71,404.50 × 71,404.50
4. Step 4: Simplify right side
   32,584x = 5,098,602,620.25
5. Step 5: Solve for x
   x = 5,098,602,620.25/32,584
6. Step 6: Final answer
   x = 156,475.65