Finding the Third Proportional to 1,094.92 and 2,382.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.92 : 2,382.06 = 2,382.06 : x
2. Step 2: Convert to fraction form
   1,094.92/2,382.06 = 2,382.06/x
3. Step 3: Cross multiply
   1,094.92x = 2,382.06 × 2,382.06
4. Step 4: Simplify right side
   1,094.92x = 5,674,231.06
5. Step 5: Solve for x
   x = 5,674,231.06/1,094.92
6. Step 6: Final answer
   x = 5,182.31