Finding the Third Proportional to 21,142.50 and 31,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,142.50 : 31,470.75 = 31,470.75 : x
2. Step 2: Convert to fraction form
   21,142.50/31,470.75 = 31,470.75/x
3. Step 3: Cross multiply
   21,142.50x = 31,470.75 × 31,470.75
4. Step 4: Simplify right side
   21,142.50x = 990,408,105.56
5. Step 5: Solve for x
   x = 990,408,105.56/21,142.50
6. Step 6: Final answer
   x = 46,844.42