Finding the Third Proportional to 11,004.50 and 23,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,004.50 : 23,762.50 = 23,762.50 : x
2. Step 2: Convert to fraction form
   11,004.50/23,762.50 = 23,762.50/x
3. Step 3: Cross multiply
   11,004.50x = 23,762.50 × 23,762.50
4. Step 4: Simplify right side
   11,004.50x = 564,656,406.25
5. Step 5: Solve for x
   x = 564,656,406.25/11,004.50
6. Step 6: Final answer
   x = 51,311.41