Finding the Third Proportional to 11,484 and 17,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,484 : 17,725.50 = 17,725.50 : x
2. Step 2: Convert to fraction form
   11,484/17,725.50 = 17,725.50/x
3. Step 3: Cross multiply
   11,484x = 17,725.50 × 17,725.50
4. Step 4: Simplify right side
   11,484x = 314,193,350.25
5. Step 5: Solve for x
   x = 314,193,350.25/11,484
6. Step 6: Final answer
   x = 27,359.23