Finding the Third Proportional to 11,552 and 16,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,552 : 16,519.50 = 16,519.50 : x
2. Step 2: Convert to fraction form
   11,552/16,519.50 = 16,519.50/x
3. Step 3: Cross multiply
   11,552x = 16,519.50 × 16,519.50
4. Step 4: Simplify right side
   11,552x = 272,893,880.25
5. Step 5: Solve for x
   x = 272,893,880.25/11,552
6. Step 6: Final answer
   x = 23,623.09