Finding the Third Proportional to 1,414.50 and 3,253.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.50 : 3,253.88 = 3,253.88 : x
2. Step 2: Convert to fraction form
   1,414.50/3,253.88 = 3,253.88/x
3. Step 3: Cross multiply
   1,414.50x = 3,253.88 × 3,253.88
4. Step 4: Simplify right side
   1,414.50x = 10,587,702.52
5. Step 5: Solve for x
   x = 10,587,702.52/1,414.50
6. Step 6: Final answer
   x = 7,485.12