Finding the Third Proportional to 2,184 and 5,046

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184 : 5,046 = 5,046 : x
2. Step 2: Convert to fraction form
   2,184/5,046 = 5,046/x
3. Step 3: Cross multiply
   2,184x = 5,046 × 5,046
4. Step 4: Simplify right side
   2,184x = 25,462,116
5. Step 5: Solve for x
   x = 25,462,116/2,184
6. Step 6: Final answer
   x = 11,658.48