Finding the Third Proportional to 2,262 and 3,478

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262 : 3,478 = 3,478 : x
2. Step 2: Convert to fraction form
   2,262/3,478 = 3,478/x
3. Step 3: Cross multiply
   2,262x = 3,478 × 3,478
4. Step 4: Simplify right side
   2,262x = 12,096,484
5. Step 5: Solve for x
   x = 12,096,484/2,262
6. Step 6: Final answer
   x = 5,347.69