Finding the Third Proportional to 11,623.50 and 25,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623.50 : 25,470.75 = 25,470.75 : x
2. Step 2: Convert to fraction form
   11,623.50/25,470.75 = 25,470.75/x
3. Step 3: Cross multiply
   11,623.50x = 25,470.75 × 25,470.75
4. Step 4: Simplify right side
   11,623.50x = 648,759,105.56
5. Step 5: Solve for x
   x = 648,759,105.56/11,623.50
6. Step 6: Final answer
   x = 55,814.44