Finding the Third Proportional to 2,514.75 and 3,698.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.75 : 3,698.63 = 3,698.63 : x
2. Step 2: Convert to fraction form
   2,514.75/3,698.63 = 3,698.63/x
3. Step 3: Cross multiply
   2,514.75x = 3,698.63 × 3,698.63
4. Step 4: Simplify right side
   2,514.75x = 13,679,826.89
5. Step 5: Solve for x
   x = 13,679,826.89/2,514.75
6. Step 6: Final answer
   x = 5,439.84