Finding the Third Proportional to 2,784.38 and 4,174.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 4,174.88 = 4,174.88 : x
2. Step 2: Convert to fraction form
   2,784.38/4,174.88 = 4,174.88/x
3. Step 3: Cross multiply
   2,784.38x = 4,174.88 × 4,174.88
4. Step 4: Simplify right side
   2,784.38x = 17,429,581.27
5. Step 5: Solve for x
   x = 17,429,581.27/2,784.38
6. Step 6: Final answer
   x = 6,259.78