Finding the Third Proportional to 5,727.94 and 8,746.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727.94 : 8,746.88 = 8,746.88 : x
2. Step 2: Convert to fraction form
   5,727.94/8,746.88 = 8,746.88/x
3. Step 3: Cross multiply
   5,727.94x = 8,746.88 × 8,746.88
4. Step 4: Simplify right side
   5,727.94x = 76,507,822.27
5. Step 5: Solve for x
   x = 76,507,822.27/5,727.94
6. Step 6: Final answer
   x = 13,356.96