Finding the Third Proportional to 5,788.97 and 7,845.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788.97 : 7,845.61 = 7,845.61 : x
2. Step 2: Convert to fraction form
   5,788.97/7,845.61 = 7,845.61/x
3. Step 3: Cross multiply
   5,788.97x = 7,845.61 × 7,845.61
4. Step 4: Simplify right side
   5,788.97x = 61,553,586.47
5. Step 5: Solve for x
   x = 61,553,586.47/5,788.97
6. Step 6: Final answer
   x = 10,632.91