Finding the Third Proportional to 5,166 and 5,850

Step by Step Solution

1. Step 1: Write the proportion equation
   5,166 : 5,850 = 5,850 : x
2. Step 2: Convert to fraction form
   5,166/5,850 = 5,850/x
3. Step 3: Cross multiply
   5,166x = 5,850 × 5,850
4. Step 4: Simplify right side
   5,166x = 34,222,500
5. Step 5: Solve for x
   x = 34,222,500/5,166
6. Step 6: Final answer
   x = 6,624.56