Finding the Third Proportional to 20,142.50 and 28,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142.50 : 28,314.75 = 28,314.75 : x
2. Step 2: Convert to fraction form
   20,142.50/28,314.75 = 28,314.75/x
3. Step 3: Cross multiply
   20,142.50x = 28,314.75 × 28,314.75
4. Step 4: Simplify right side
   20,142.50x = 801,725,067.56
5. Step 5: Solve for x
   x = 801,725,067.56/20,142.50
6. Step 6: Final answer
   x = 39,802.66