Finding the Third Proportional to 11,527 and 25,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,527 : 25,224.50 = 25,224.50 : x
2. Step 2: Convert to fraction form
   11,527/25,224.50 = 25,224.50/x
3. Step 3: Cross multiply
   11,527x = 25,224.50 × 25,224.50
4. Step 4: Simplify right side
   11,527x = 636,275,400.25
5. Step 5: Solve for x
   x = 636,275,400.25/11,527
6. Step 6: Final answer
   x = 55,198.70