Finding the Third Proportional to 3,862.69 and 5,642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.69 : 5,642.16 = 5,642.16 : x
2. Step 2: Convert to fraction form
   3,862.69/5,642.16 = 5,642.16/x
3. Step 3: Cross multiply
   3,862.69x = 5,642.16 × 5,642.16
4. Step 4: Simplify right side
   3,862.69x = 31,833,927.15
5. Step 5: Solve for x
   x = 31,833,927.15/3,862.69
6. Step 6: Final answer
   x = 8,241.39