Finding the Third Proportional to 11,498 and 16,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,498 : 16,747.50 = 16,747.50 : x
2. Step 2: Convert to fraction form
   11,498/16,747.50 = 16,747.50/x
3. Step 3: Cross multiply
   11,498x = 16,747.50 × 16,747.50
4. Step 4: Simplify right side
   11,498x = 280,478,756.25
5. Step 5: Solve for x
   x = 280,478,756.25/11,498
6. Step 6: Final answer
   x = 24,393.70