Finding the Third Proportional to 12,778.50 and 17,868

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.50 : 17,868 = 17,868 : x
2. Step 2: Convert to fraction form
   12,778.50/17,868 = 17,868/x
3. Step 3: Cross multiply
   12,778.50x = 17,868 × 17,868
4. Step 4: Simplify right side
   12,778.50x = 319,265,424
5. Step 5: Solve for x
   x = 319,265,424/12,778.50
6. Step 6: Final answer
   x = 24,984.58