Finding the Third Proportional to 5,852.88 and 12,800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,852.88 : 12,800.69 = 12,800.69 : x
2. Step 2: Convert to fraction form
   5,852.88/12,800.69 = 12,800.69/x
3. Step 3: Cross multiply
   5,852.88x = 12,800.69 × 12,800.69
4. Step 4: Simplify right side
   5,852.88x = 163,857,650.48
5. Step 5: Solve for x
   x = 163,857,650.48/5,852.88
6. Step 6: Final answer
   x = 27,996.06