Finding the Third Proportional to 2,174 and 2,426

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 2,426 = 2,426 : x
2. Step 2: Convert to fraction form
   2,174/2,426 = 2,426/x
3. Step 3: Cross multiply
   2,174x = 2,426 × 2,426
4. Step 4: Simplify right side
   2,174x = 5,885,476
5. Step 5: Solve for x
   x = 5,885,476/2,174
6. Step 6: Final answer
   x = 2,707.21