Finding the Third Proportional to 12,514.25 and 27,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,514.25 : 27,206.50 = 27,206.50 : x
2. Step 2: Convert to fraction form
   12,514.25/27,206.50 = 27,206.50/x
3. Step 3: Cross multiply
   12,514.25x = 27,206.50 × 27,206.50
4. Step 4: Simplify right side
   12,514.25x = 740,193,642.25
5. Step 5: Solve for x
   x = 740,193,642.25/12,514.25
6. Step 6: Final answer
   x = 59,148.06