Finding the Third Proportional to 10,149.05 and 24,193.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.05 : 24,193.69 = 24,193.69 : x
2. Step 2: Convert to fraction form
   10,149.05/24,193.69 = 24,193.69/x
3. Step 3: Cross multiply
   10,149.05x = 24,193.69 × 24,193.69
4. Step 4: Simplify right side
   10,149.05x = 585,334,514.85
5. Step 5: Solve for x
   x = 585,334,514.85/10,149.05
6. Step 6: Final answer
   x = 57,673.84