Finding the Third Proportional to 20,821.50 and 31,984.38

Step by Step Solution

1. Step 1: Write the proportion equation
   20,821.50 : 31,984.38 = 31,984.38 : x
2. Step 2: Convert to fraction form
   20,821.50/31,984.38 = 31,984.38/x
3. Step 3: Cross multiply
   20,821.50x = 31,984.38 × 31,984.38
4. Step 4: Simplify right side
   20,821.50x = 1,023,000,244.14
5. Step 5: Solve for x
   x = 1,023,000,244.14/20,821.50
6. Step 6: Final answer
   x = 49,131.92