Finding the Third Proportional to 12,982.50 and 18,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,982.50 : 18,564.75 = 18,564.75 : x
2. Step 2: Convert to fraction form
   12,982.50/18,564.75 = 18,564.75/x
3. Step 3: Cross multiply
   12,982.50x = 18,564.75 × 18,564.75
4. Step 4: Simplify right side
   12,982.50x = 344,649,942.56
5. Step 5: Solve for x
   x = 344,649,942.56/12,982.50
6. Step 6: Final answer
   x = 26,547.27