Finding the Third Proportional to 2,500 and 2,892

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 2,892 = 2,892 : x
2. Step 2: Convert to fraction form
   2,500/2,892 = 2,892/x
3. Step 3: Cross multiply
   2,500x = 2,892 × 2,892
4. Step 4: Simplify right side
   2,500x = 8,363,664
5. Step 5: Solve for x
   x = 8,363,664/2,500
6. Step 6: Final answer
   x = 3,345.47