Finding the Third Proportional to 11,553.75 and 16,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553.75 : 16,522.50 = 16,522.50 : x
2. Step 2: Convert to fraction form
   11,553.75/16,522.50 = 16,522.50/x
3. Step 3: Cross multiply
   11,553.75x = 16,522.50 × 16,522.50
4. Step 4: Simplify right side
   11,553.75x = 272,993,006.25
5. Step 5: Solve for x
   x = 272,993,006.25/11,553.75
6. Step 6: Final answer
   x = 23,628.09