Finding the Third Proportional to 5,315.63 and 8,078.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,315.63 : 8,078.06 = 8,078.06 : x
2. Step 2: Convert to fraction form
   5,315.63/8,078.06 = 8,078.06/x
3. Step 3: Cross multiply
   5,315.63x = 8,078.06 × 8,078.06
4. Step 4: Simplify right side
   5,315.63x = 65,255,093.75
5. Step 5: Solve for x
   x = 65,255,093.75/5,315.63
6. Step 6: Final answer
   x = 12,276.09