Finding the Third Proportional to 2,138.06 and 3,465.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.06 : 3,465.28 = 3,465.28 : x
2. Step 2: Convert to fraction form
   2,138.06/3,465.28 = 3,465.28/x
3. Step 3: Cross multiply
   2,138.06x = 3,465.28 × 3,465.28
4. Step 4: Simplify right side
   2,138.06x = 12,008,174.14
5. Step 5: Solve for x
   x = 12,008,174.14/2,138.06
6. Step 6: Final answer
   x = 5,616.38