Finding the Third Proportional to 12,086.25 and 25,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,086.25 : 25,624.50 = 25,624.50 : x
2. Step 2: Convert to fraction form
   12,086.25/25,624.50 = 25,624.50/x
3. Step 3: Cross multiply
   12,086.25x = 25,624.50 × 25,624.50
4. Step 4: Simplify right side
   12,086.25x = 656,615,000.25
5. Step 5: Solve for x
   x = 656,615,000.25/12,086.25
6. Step 6: Final answer
   x = 54,327.44