Finding the Third Proportional to 11,569.50 and 16,922.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569.50 : 16,922.25 = 16,922.25 : x
2. Step 2: Convert to fraction form
   11,569.50/16,922.25 = 16,922.25/x
3. Step 3: Cross multiply
   11,569.50x = 16,922.25 × 16,922.25
4. Step 4: Simplify right side
   11,569.50x = 286,362,545.06
5. Step 5: Solve for x
   x = 286,362,545.06/11,569.50
6. Step 6: Final answer
   x = 24,751.51