Finding the Third Proportional to 12,762 and 18,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,762 : 18,778.50 = 18,778.50 : x
2. Step 2: Convert to fraction form
   12,762/18,778.50 = 18,778.50/x
3. Step 3: Cross multiply
   12,762x = 18,778.50 × 18,778.50
4. Step 4: Simplify right side
   12,762x = 352,632,062.25
5. Step 5: Solve for x
   x = 352,632,062.25/12,762
6. Step 6: Final answer
   x = 27,631.41