Finding the Third Proportional to 2,326 and 4,184

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326 : 4,184 = 4,184 : x
2. Step 2: Convert to fraction form
   2,326/4,184 = 4,184/x
3. Step 3: Cross multiply
   2,326x = 4,184 × 4,184
4. Step 4: Simplify right side
   2,326x = 17,505,856
5. Step 5: Solve for x
   x = 17,505,856/2,326
6. Step 6: Final answer
   x = 7,526.16