Finding the Third Proportional to 5,856 and 12,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 12,763.50 = 12,763.50 : x
2. Step 2: Convert to fraction form
   5,856/12,763.50 = 12,763.50/x
3. Step 3: Cross multiply
   5,856x = 12,763.50 × 12,763.50
4. Step 4: Simplify right side
   5,856x = 162,906,932.25
5. Step 5: Solve for x
   x = 162,906,932.25/5,856
6. Step 6: Final answer
   x = 27,818.81