Finding the Third Proportional to 3,468 and 5,302

Step by Step Solution

1. Step 1: Write the proportion equation
   3,468 : 5,302 = 5,302 : x
2. Step 2: Convert to fraction form
   3,468/5,302 = 5,302/x
3. Step 3: Cross multiply
   3,468x = 5,302 × 5,302
4. Step 4: Simplify right side
   3,468x = 28,111,204
5. Step 5: Solve for x
   x = 28,111,204/3,468
6. Step 6: Final answer
   x = 8,105.88