Finding the Third Proportional to 20,766 and 31,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,766 : 31,142.50 = 31,142.50 : x
2. Step 2: Convert to fraction form
   20,766/31,142.50 = 31,142.50/x
3. Step 3: Cross multiply
   20,766x = 31,142.50 × 31,142.50
4. Step 4: Simplify right side
   20,766x = 969,855,306.25
5. Step 5: Solve for x
   x = 969,855,306.25/20,766
6. Step 6: Final answer
   x = 46,704.00