Finding the Third Proportional to 2,527.13 and 3,841.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.13 : 3,841.69 = 3,841.69 : x
2. Step 2: Convert to fraction form
   2,527.13/3,841.69 = 3,841.69/x
3. Step 3: Cross multiply
   2,527.13x = 3,841.69 × 3,841.69
4. Step 4: Simplify right side
   2,527.13x = 14,758,562.85
5. Step 5: Solve for x
   x = 14,758,562.85/2,527.13
6. Step 6: Final answer
   x = 5,840.06