Finding the Third Proportional to 1,184 and 2,648

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184 : 2,648 = 2,648 : x
2. Step 2: Convert to fraction form
   1,184/2,648 = 2,648/x
3. Step 3: Cross multiply
   1,184x = 2,648 × 2,648
4. Step 4: Simplify right side
   1,184x = 7,011,904
5. Step 5: Solve for x
   x = 7,011,904/1,184
6. Step 6: Final answer
   x = 5,922.22