Finding the Third Proportional to 2,869.31 and 3,871.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,869.31 : 3,871.69 = 3,871.69 : x
2. Step 2: Convert to fraction form
   2,869.31/3,871.69 = 3,871.69/x
3. Step 3: Cross multiply
   2,869.31x = 3,871.69 × 3,871.69
4. Step 4: Simplify right side
   2,869.31x = 14,989,964.10
5. Step 5: Solve for x
   x = 14,989,964.10/2,869.31
6. Step 6: Final answer
   x = 5,224.24