Finding the Third Proportional to 32,827.50 and 71,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,827.50 : 71,594.50 = 71,594.50 : x
2. Step 2: Convert to fraction form
   32,827.50/71,594.50 = 71,594.50/x
3. Step 3: Cross multiply
   32,827.50x = 71,594.50 × 71,594.50
4. Step 4: Simplify right side
   32,827.50x = 5,125,772,430.25
5. Step 5: Solve for x
   x = 5,125,772,430.25/32,827.50
6. Step 6: Final answer
   x = 156,142.64