Finding the Third Proportional to 2,662.88 and 4,138.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,662.88 : 4,138.59 = 4,138.59 : x
2. Step 2: Convert to fraction form
   2,662.88/4,138.59 = 4,138.59/x
3. Step 3: Cross multiply
   2,662.88x = 4,138.59 × 4,138.59
4. Step 4: Simplify right side
   2,662.88x = 17,127,958.23
5. Step 5: Solve for x
   x = 17,127,958.23/2,662.88
6. Step 6: Final answer
   x = 6,432.13