Finding the Third Proportional to 10,570.50 and 22,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.50 : 22,470.75 = 22,470.75 : x
2. Step 2: Convert to fraction form
   10,570.50/22,470.75 = 22,470.75/x
3. Step 3: Cross multiply
   10,570.50x = 22,470.75 × 22,470.75
4. Step 4: Simplify right side
   10,570.50x = 504,934,605.56
5. Step 5: Solve for x
   x = 504,934,605.56/10,570.50
6. Step 6: Final answer
   x = 47,768.28