Finding the Third Proportional to 1,178 and 2,116

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178 : 2,116 = 2,116 : x
2. Step 2: Convert to fraction form
   1,178/2,116 = 2,116/x
3. Step 3: Cross multiply
   1,178x = 2,116 × 2,116
4. Step 4: Simplify right side
   1,178x = 4,477,456
5. Step 5: Solve for x
   x = 4,477,456/1,178
6. Step 6: Final answer
   x = 3,800.90