Finding the Third Proportional to 11,587.50 and 16,553.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,587.50 : 16,553.25 = 16,553.25 : x
2. Step 2: Convert to fraction form
   11,587.50/16,553.25 = 16,553.25/x
3. Step 3: Cross multiply
   11,587.50x = 16,553.25 × 16,553.25
4. Step 4: Simplify right side
   11,587.50x = 274,010,085.56
5. Step 5: Solve for x
   x = 274,010,085.56/11,587.50
6. Step 6: Final answer
   x = 23,647.04