Finding the Third Proportional to 11,506.50 and 24,823.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506.50 : 24,823.69 = 24,823.69 : x
2. Step 2: Convert to fraction form
   11,506.50/24,823.69 = 24,823.69/x
3. Step 3: Cross multiply
   11,506.50x = 24,823.69 × 24,823.69
4. Step 4: Simplify right side
   11,506.50x = 616,215,461.10
5. Step 5: Solve for x
   x = 616,215,461.10/11,506.50
6. Step 6: Final answer
   x = 53,553.68