Finding the Third Proportional to 11,689.50 and 17,484

Step by Step Solution

1. Step 1: Write the proportion equation
   11,689.50 : 17,484 = 17,484 : x
2. Step 2: Convert to fraction form
   11,689.50/17,484 = 17,484/x
3. Step 3: Cross multiply
   11,689.50x = 17,484 × 17,484
4. Step 4: Simplify right side
   11,689.50x = 305,690,256
5. Step 5: Solve for x
   x = 305,690,256/11,689.50
6. Step 6: Final answer
   x = 26,150.84