Finding the Third Proportional to 11,150 and 16,598

Step by Step Solution

1. Step 1: Write the proportion equation
   11,150 : 16,598 = 16,598 : x
2. Step 2: Convert to fraction form
   11,150/16,598 = 16,598/x
3. Step 3: Cross multiply
   11,150x = 16,598 × 16,598
4. Step 4: Simplify right side
   11,150x = 275,493,604
5. Step 5: Solve for x
   x = 275,493,604/11,150
6. Step 6: Final answer
   x = 24,707.95