Finding the Third Proportional to 12,568.50 and 18,582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,568.50 : 18,582.75 = 18,582.75 : x
2. Step 2: Convert to fraction form
   12,568.50/18,582.75 = 18,582.75/x
3. Step 3: Cross multiply
   12,568.50x = 18,582.75 × 18,582.75
4. Step 4: Simplify right side
   12,568.50x = 345,318,597.56
5. Step 5: Solve for x
   x = 345,318,597.56/12,568.50
6. Step 6: Final answer
   x = 27,474.93