Finding the Third Proportional to 1,092.87 and 2,358.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.87 : 2,358.49 = 2,358.49 : x
2. Step 2: Convert to fraction form
   1,092.87/2,358.49 = 2,358.49/x
3. Step 3: Cross multiply
   1,092.87x = 2,358.49 × 2,358.49
4. Step 4: Simplify right side
   1,092.87x = 5,562,485.40
5. Step 5: Solve for x
   x = 5,562,485.40/1,092.87
6. Step 6: Final answer
   x = 5,089.81