Finding the Third Proportional to 1,171.86 and 1,648.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.86 : 1,648.16 = 1,648.16 : x
2. Step 2: Convert to fraction form
   1,171.86/1,648.16 = 1,648.16/x
3. Step 3: Cross multiply
   1,171.86x = 1,648.16 × 1,648.16
4. Step 4: Simplify right side
   1,171.86x = 2,716,431.90
5. Step 5: Solve for x
   x = 2,716,431.90/1,171.86
6. Step 6: Final answer
   x = 2,318.05