Finding the Third Proportional to 11,080.50 and 24,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,080.50 : 24,005.25 = 24,005.25 : x
2. Step 2: Convert to fraction form
   11,080.50/24,005.25 = 24,005.25/x
3. Step 3: Cross multiply
   11,080.50x = 24,005.25 × 24,005.25
4. Step 4: Simplify right side
   11,080.50x = 576,252,027.56
5. Step 5: Solve for x
   x = 576,252,027.56/11,080.50
6. Step 6: Final answer
   x = 52,005.96