Finding the Third Proportional to 2,152 and 2,446

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152 : 2,446 = 2,446 : x
2. Step 2: Convert to fraction form
   2,152/2,446 = 2,446/x
3. Step 3: Cross multiply
   2,152x = 2,446 × 2,446
4. Step 4: Simplify right side
   2,152x = 5,982,916
5. Step 5: Solve for x
   x = 5,982,916/2,152
6. Step 6: Final answer
   x = 2,780.17