Finding the Third Proportional to 3,368 and 5,896

Step by Step Solution

1. Step 1: Write the proportion equation
   3,368 : 5,896 = 5,896 : x
2. Step 2: Convert to fraction form
   3,368/5,896 = 5,896/x
3. Step 3: Cross multiply
   3,368x = 5,896 × 5,896
4. Step 4: Simplify right side
   3,368x = 34,762,816
5. Step 5: Solve for x
   x = 34,762,816/3,368
6. Step 6: Final answer
   x = 10,321.50