Finding the Third Proportional to 6,846.75 and 10,277.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846.75 : 10,277.72 = 10,277.72 : x
2. Step 2: Convert to fraction form
   6,846.75/10,277.72 = 10,277.72/x
3. Step 3: Cross multiply
   6,846.75x = 10,277.72 × 10,277.72
4. Step 4: Simplify right side
   6,846.75x = 105,631,502.70
5. Step 5: Solve for x
   x = 105,631,502.70/6,846.75
6. Step 6: Final answer
   x = 15,427.98