Finding the Third Proportional to 2,562.47 and 3,668.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.47 : 3,668.20 = 3,668.20 : x
2. Step 2: Convert to fraction form
   2,562.47/3,668.20 = 3,668.20/x
3. Step 3: Cross multiply
   2,562.47x = 3,668.20 × 3,668.20
4. Step 4: Simplify right side
   2,562.47x = 13,455,714.17
5. Step 5: Solve for x
   x = 13,455,714.17/2,562.47
6. Step 6: Final answer
   x = 5,251.07