Finding the Third Proportional to 2,158.52 and 3,694.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.52 : 3,694.36 = 3,694.36 : x
2. Step 2: Convert to fraction form
   2,158.52/3,694.36 = 3,694.36/x
3. Step 3: Cross multiply
   2,158.52x = 3,694.36 × 3,694.36
4. Step 4: Simplify right side
   2,158.52x = 13,648,291.19
5. Step 5: Solve for x
   x = 13,648,291.19/2,158.52
6. Step 6: Final answer
   x = 6,322.98