Finding the Third Proportional to 2,092.50 and 4,458.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 4,458.38 = 4,458.38 : x
2. Step 2: Convert to fraction form
   2,092.50/4,458.38 = 4,458.38/x
3. Step 3: Cross multiply
   2,092.50x = 4,458.38 × 4,458.38
4. Step 4: Simplify right side
   2,092.50x = 19,877,107.64
5. Step 5: Solve for x
   x = 19,877,107.64/2,092.50
6. Step 6: Final answer
   x = 9,499.22