Finding the Third Proportional to 1,092.52 and 2,291.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.52 : 2,291.77 = 2,291.77 : x
2. Step 2: Convert to fraction form
   1,092.52/2,291.77 = 2,291.77/x
3. Step 3: Cross multiply
   1,092.52x = 2,291.77 × 2,291.77
4. Step 4: Simplify right side
   1,092.52x = 5,252,189.68
5. Step 5: Solve for x
   x = 5,252,189.68/1,092.52
6. Step 6: Final answer
   x = 4,807.43