Finding the Third Proportional to 1,106 and 1,184

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106 : 1,184 = 1,184 : x
2. Step 2: Convert to fraction form
   1,106/1,184 = 1,184/x
3. Step 3: Cross multiply
   1,106x = 1,184 × 1,184
4. Step 4: Simplify right side
   1,106x = 1,401,856
5. Step 5: Solve for x
   x = 1,401,856/1,106
6. Step 6: Final answer
   x = 1,267.50