Finding the Third Proportional to 1,747.38 and 3,801.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.38 : 3,801.88 = 3,801.88 : x
2. Step 2: Convert to fraction form
   1,747.38/3,801.88 = 3,801.88/x
3. Step 3: Cross multiply
   1,747.38x = 3,801.88 × 3,801.88
4. Step 4: Simplify right side
   1,747.38x = 14,454,253.52
5. Step 5: Solve for x
   x = 14,454,253.52/1,747.38
6. Step 6: Final answer
   x = 8,271.98