Finding the Third Proportional to 11,498 and 24,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,498 : 24,636.50 = 24,636.50 : x
2. Step 2: Convert to fraction form
   11,498/24,636.50 = 24,636.50/x
3. Step 3: Cross multiply
   11,498x = 24,636.50 × 24,636.50
4. Step 4: Simplify right side
   11,498x = 606,957,132.25
5. Step 5: Solve for x
   x = 606,957,132.25/11,498
6. Step 6: Final answer
   x = 52,788.06