Finding the Third Proportional to 5,160 and 5,892

Step by Step Solution

1. Step 1: Write the proportion equation
   5,160 : 5,892 = 5,892 : x
2. Step 2: Convert to fraction form
   5,160/5,892 = 5,892/x
3. Step 3: Cross multiply
   5,160x = 5,892 × 5,892
4. Step 4: Simplify right side
   5,160x = 34,715,664
5. Step 5: Solve for x
   x = 34,715,664/5,160
6. Step 6: Final answer
   x = 6,727.84