Finding the Third Proportional to 11,509.50 and 17,773.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509.50 : 17,773.13 = 17,773.13 : x
2. Step 2: Convert to fraction form
   11,509.50/17,773.13 = 17,773.13/x
3. Step 3: Cross multiply
   11,509.50x = 17,773.13 × 17,773.13
4. Step 4: Simplify right side
   11,509.50x = 315,883,972.27
5. Step 5: Solve for x
   x = 315,883,972.27/11,509.50
6. Step 6: Final answer
   x = 27,445.50