Finding the Third Proportional to 32,286 and 47,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,286 : 47,143.50 = 47,143.50 : x
2. Step 2: Convert to fraction form
   32,286/47,143.50 = 47,143.50/x
3. Step 3: Cross multiply
   32,286x = 47,143.50 × 47,143.50
4. Step 4: Simplify right side
   32,286x = 2,222,509,592.25
5. Step 5: Solve for x
   x = 2,222,509,592.25/32,286
6. Step 6: Final answer
   x = 68,838.18