Finding the Third Proportional to 2,263.13 and 4,092.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.13 : 4,092.56 = 4,092.56 : x
2. Step 2: Convert to fraction form
   2,263.13/4,092.56 = 4,092.56/x
3. Step 3: Cross multiply
   2,263.13x = 4,092.56 × 4,092.56
4. Step 4: Simplify right side
   2,263.13x = 16,749,067.82
5. Step 5: Solve for x
   x = 16,749,067.82/2,263.13
6. Step 6: Final answer
   x = 7,400.86