Finding the Third Proportional to 2,264 and 3,468

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264 : 3,468 = 3,468 : x
2. Step 2: Convert to fraction form
   2,264/3,468 = 3,468/x
3. Step 3: Cross multiply
   2,264x = 3,468 × 3,468
4. Step 4: Simplify right side
   2,264x = 12,027,024
5. Step 5: Solve for x
   x = 12,027,024/2,264
6. Step 6: Final answer
   x = 5,312.29