Finding the Third Proportional to 32,309.75 and 47,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,309.75 : 47,211.50 = 47,211.50 : x
2. Step 2: Convert to fraction form
   32,309.75/47,211.50 = 47,211.50/x
3. Step 3: Cross multiply
   32,309.75x = 47,211.50 × 47,211.50
4. Step 4: Simplify right side
   32,309.75x = 2,228,925,732.25
5. Step 5: Solve for x
   x = 2,228,925,732.25/32,309.75
6. Step 6: Final answer
   x = 68,986.16