Finding the Third Proportional to 12,982.50 and 22,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,982.50 : 22,297.50 = 22,297.50 : x
2. Step 2: Convert to fraction form
   12,982.50/22,297.50 = 22,297.50/x
3. Step 3: Cross multiply
   12,982.50x = 22,297.50 × 22,297.50
4. Step 4: Simplify right side
   12,982.50x = 497,178,506.25
5. Step 5: Solve for x
   x = 497,178,506.25/12,982.50
6. Step 6: Final answer
   x = 38,296.05