Finding the Third Proportional to 11,551 and 17,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,551 : 17,569.50 = 17,569.50 : x
2. Step 2: Convert to fraction form
   11,551/17,569.50 = 17,569.50/x
3. Step 3: Cross multiply
   11,551x = 17,569.50 × 17,569.50
4. Step 4: Simplify right side
   11,551x = 308,687,330.25
5. Step 5: Solve for x
   x = 308,687,330.25/11,551
6. Step 6: Final answer
   x = 26,723.86