Finding the Third Proportional to 11,563.50 and 25,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,563.50 : 25,282.50 = 25,282.50 : x
2. Step 2: Convert to fraction form
   11,563.50/25,282.50 = 25,282.50/x
3. Step 3: Cross multiply
   11,563.50x = 25,282.50 × 25,282.50
4. Step 4: Simplify right side
   11,563.50x = 639,204,806.25
5. Step 5: Solve for x
   x = 639,204,806.25/11,563.50
6. Step 6: Final answer
   x = 55,277.80