Finding the Third Proportional to 11,616 and 17,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 17,149.50 = 17,149.50 : x
2. Step 2: Convert to fraction form
   11,616/17,149.50 = 17,149.50/x
3. Step 3: Cross multiply
   11,616x = 17,149.50 × 17,149.50
4. Step 4: Simplify right side
   11,616x = 294,105,350.25
5. Step 5: Solve for x
   x = 294,105,350.25/11,616
6. Step 6: Final answer
   x = 25,318.99