Finding the Third Proportional to 2,174.25 and 4,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.25 : 4,758.50 = 4,758.50 : x
2. Step 2: Convert to fraction form
   2,174.25/4,758.50 = 4,758.50/x
3. Step 3: Cross multiply
   2,174.25x = 4,758.50 × 4,758.50
4. Step 4: Simplify right side
   2,174.25x = 22,643,322.25
5. Step 5: Solve for x
   x = 22,643,322.25/2,174.25
6. Step 6: Final answer
   x = 10,414.31