Finding the Third Proportional to 5,066 and 5,858

Step by Step Solution

1. Step 1: Write the proportion equation
   5,066 : 5,858 = 5,858 : x
2. Step 2: Convert to fraction form
   5,066/5,858 = 5,858/x
3. Step 3: Cross multiply
   5,066x = 5,858 × 5,858
4. Step 4: Simplify right side
   5,066x = 34,316,164
5. Step 5: Solve for x
   x = 34,316,164/5,066
6. Step 6: Final answer
   x = 6,773.82