Finding the Third Proportional to 2,272 and 3,484

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272 : 3,484 = 3,484 : x
2. Step 2: Convert to fraction form
   2,272/3,484 = 3,484/x
3. Step 3: Cross multiply
   2,272x = 3,484 × 3,484
4. Step 4: Simplify right side
   2,272x = 12,138,256
5. Step 5: Solve for x
   x = 12,138,256/2,272
6. Step 6: Final answer
   x = 5,342.54