Finding the Third Proportional to 32,824.75 and 71,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824.75 : 71,590.50 = 71,590.50 : x
2. Step 2: Convert to fraction form
   32,824.75/71,590.50 = 71,590.50/x
3. Step 3: Cross multiply
   32,824.75x = 71,590.50 × 71,590.50
4. Step 4: Simplify right side
   32,824.75x = 5,125,199,690.25
5. Step 5: Solve for x
   x = 5,125,199,690.25/32,824.75
6. Step 6: Final answer
   x = 156,138.27