Finding the Third Proportional to 5,150 and 5,906

Step by Step Solution

1. Step 1: Write the proportion equation
   5,150 : 5,906 = 5,906 : x
2. Step 2: Convert to fraction form
   5,150/5,906 = 5,906/x
3. Step 3: Cross multiply
   5,150x = 5,906 × 5,906
4. Step 4: Simplify right side
   5,150x = 34,880,836
5. Step 5: Solve for x
   x = 34,880,836/5,150
6. Step 6: Final answer
   x = 6,772.98