Finding the Third Proportional to 12,782.50 and 27,814

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.50 : 27,814 = 27,814 : x
2. Step 2: Convert to fraction form
   12,782.50/27,814 = 27,814/x
3. Step 3: Cross multiply
   12,782.50x = 27,814 × 27,814
4. Step 4: Simplify right side
   12,782.50x = 773,618,596
5. Step 5: Solve for x
   x = 773,618,596/12,782.50
6. Step 6: Final answer
   x = 60,521.70