Finding the Third Proportional to 2,142.70 and 3,339.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.70 : 3,339.35 = 3,339.35 : x
2. Step 2: Convert to fraction form
   2,142.70/3,339.35 = 3,339.35/x
3. Step 3: Cross multiply
   2,142.70x = 3,339.35 × 3,339.35
4. Step 4: Simplify right side
   2,142.70x = 11,151,268.86
5. Step 5: Solve for x
   x = 11,151,268.86/2,142.70
6. Step 6: Final answer
   x = 5,204.30