Finding the Third Proportional to 2,514.80 and 3,758.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.80 : 3,758.91 = 3,758.91 : x
2. Step 2: Convert to fraction form
   2,514.80/3,758.91 = 3,758.91/x
3. Step 3: Cross multiply
   2,514.80x = 3,758.91 × 3,758.91
4. Step 4: Simplify right side
   2,514.80x = 14,129,376.20
5. Step 5: Solve for x
   x = 14,129,376.20/2,514.80
6. Step 6: Final answer
   x = 5,618.50