Finding the Third Proportional to 11,537.25 and 24,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,537.25 : 24,829.50 = 24,829.50 : x
2. Step 2: Convert to fraction form
   11,537.25/24,829.50 = 24,829.50/x
3. Step 3: Cross multiply
   11,537.25x = 24,829.50 × 24,829.50
4. Step 4: Simplify right side
   11,537.25x = 616,504,070.25
5. Step 5: Solve for x
   x = 616,504,070.25/11,537.25
6. Step 6: Final answer
   x = 53,435.96