Finding the Third Proportional to 2,514.48 and 5,663.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.48 : 5,663.99 = 5,663.99 : x
2. Step 2: Convert to fraction form
   2,514.48/5,663.99 = 5,663.99/x
3. Step 3: Cross multiply
   2,514.48x = 5,663.99 × 5,663.99
4. Step 4: Simplify right side
   2,514.48x = 32,080,763.25
5. Step 5: Solve for x
   x = 32,080,763.25/2,514.48
6. Step 6: Final answer
   x = 12,758.41