Finding the Third Proportional to 2,795.92 and 5,978.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,795.92 : 5,978.65 = 5,978.65 : x
2. Step 2: Convert to fraction form
   2,795.92/5,978.65 = 5,978.65/x
3. Step 3: Cross multiply
   2,795.92x = 5,978.65 × 5,978.65
4. Step 4: Simplify right side
   2,795.92x = 35,744,307.20
5. Step 5: Solve for x
   x = 35,744,307.20/2,795.92
6. Step 6: Final answer
   x = 12,784.44