Finding the Third Proportional to 1,093.24 and 2,359.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.24 : 2,359.22 = 2,359.22 : x
2. Step 2: Convert to fraction form
   1,093.24/2,359.22 = 2,359.22/x
3. Step 3: Cross multiply
   1,093.24x = 2,359.22 × 2,359.22
4. Step 4: Simplify right side
   1,093.24x = 5,565,913.11
5. Step 5: Solve for x
   x = 5,565,913.11/1,093.24
6. Step 6: Final answer
   x = 5,091.20