Finding the Third Proportional to 2,142 and 3,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 3,394.50 = 3,394.50 : x
2. Step 2: Convert to fraction form
   2,142/3,394.50 = 3,394.50/x
3. Step 3: Cross multiply
   2,142x = 3,394.50 × 3,394.50
4. Step 4: Simplify right side
   2,142x = 11,522,630.25
5. Step 5: Solve for x
   x = 11,522,630.25/2,142
6. Step 6: Final answer
   x = 5,379.38