Finding the Third Proportional to 5,664 and 12,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,664 : 12,514.50 = 12,514.50 : x
2. Step 2: Convert to fraction form
   5,664/12,514.50 = 12,514.50/x
3. Step 3: Cross multiply
   5,664x = 12,514.50 × 12,514.50
4. Step 4: Simplify right side
   5,664x = 156,612,710.25
5. Step 5: Solve for x
   x = 156,612,710.25/5,664
6. Step 6: Final answer
   x = 27,650.55