Finding the Third Proportional to 11,024.25 and 23,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,024.25 : 23,776.50 = 23,776.50 : x
2. Step 2: Convert to fraction form
   11,024.25/23,776.50 = 23,776.50/x
3. Step 3: Cross multiply
   11,024.25x = 23,776.50 × 23,776.50
4. Step 4: Simplify right side
   11,024.25x = 565,321,952.25
5. Step 5: Solve for x
   x = 565,321,952.25/11,024.25
6. Step 6: Final answer
   x = 51,279.86