Finding the Third Proportional to 20,400 and 31,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,400 : 31,522.50 = 31,522.50 : x
2. Step 2: Convert to fraction form
   20,400/31,522.50 = 31,522.50/x
3. Step 3: Cross multiply
   20,400x = 31,522.50 × 31,522.50
4. Step 4: Simplify right side
   20,400x = 993,668,006.25
5. Step 5: Solve for x
   x = 993,668,006.25/20,400
6. Step 6: Final answer
   x = 48,709.22