Finding the Third Proportional to 5,899.50 and 12,872.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899.50 : 12,872.25 = 12,872.25 : x
2. Step 2: Convert to fraction form
   5,899.50/12,872.25 = 12,872.25/x
3. Step 3: Cross multiply
   5,899.50x = 12,872.25 × 12,872.25
4. Step 4: Simplify right side
   5,899.50x = 165,694,820.06
5. Step 5: Solve for x
   x = 165,694,820.06/5,899.50
6. Step 6: Final answer
   x = 28,086.25