Finding the Third Proportional to 2,094.19 and 4,132.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,094.19 : 4,132.69 = 4,132.69 : x
2. Step 2: Convert to fraction form
   2,094.19/4,132.69 = 4,132.69/x
3. Step 3: Cross multiply
   2,094.19x = 4,132.69 × 4,132.69
4. Step 4: Simplify right side
   2,094.19x = 17,079,105.97
5. Step 5: Solve for x
   x = 17,079,105.97/2,094.19
6. Step 6: Final answer
   x = 8,155.48