Finding the Third Proportional to 2,184.75 and 3,459.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.75 : 3,459.38 = 3,459.38 : x
2. Step 2: Convert to fraction form
   2,184.75/3,459.38 = 3,459.38/x
3. Step 3: Cross multiply
   2,184.75x = 3,459.38 × 3,459.38
4. Step 4: Simplify right side
   2,184.75x = 11,967,275.39
5. Step 5: Solve for x
   x = 11,967,275.39/2,184.75
6. Step 6: Final answer
   x = 5,477.64