Finding the Third Proportional to 32,633 and 71,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,633 : 71,257.50 = 71,257.50 : x
2. Step 2: Convert to fraction form
   32,633/71,257.50 = 71,257.50/x
3. Step 3: Cross multiply
   32,633x = 71,257.50 × 71,257.50
4. Step 4: Simplify right side
   32,633x = 5,077,631,306.25
5. Step 5: Solve for x
   x = 5,077,631,306.25/32,633
6. Step 6: Final answer
   x = 155,598.05