Finding the Third Proportional to 1,093.50 and 2,359.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 2,359.76 = 2,359.76 : x
2. Step 2: Convert to fraction form
   1,093.50/2,359.76 = 2,359.76/x
3. Step 3: Cross multiply
   1,093.50x = 2,359.76 × 2,359.76
4. Step 4: Simplify right side
   1,093.50x = 5,568,456.93
5. Step 5: Solve for x
   x = 5,568,456.93/1,093.50
6. Step 6: Final answer
   x = 5,092.32