Finding the Third Proportional to 5,906 and 12,850

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906 : 12,850 = 12,850 : x
2. Step 2: Convert to fraction form
   5,906/12,850 = 12,850/x
3. Step 3: Cross multiply
   5,906x = 12,850 × 12,850
4. Step 4: Simplify right side
   5,906x = 165,122,500
5. Step 5: Solve for x
   x = 165,122,500/5,906
6. Step 6: Final answer
   x = 27,958.43