Finding the Third Proportional to 6,849.56 and 10,477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.56 : 10,477.69 = 10,477.69 : x
2. Step 2: Convert to fraction form
   6,849.56/10,477.69 = 10,477.69/x
3. Step 3: Cross multiply
   6,849.56x = 10,477.69 × 10,477.69
4. Step 4: Simplify right side
   6,849.56x = 109,781,935.35
5. Step 5: Solve for x
   x = 109,781,935.35/6,849.56
6. Step 6: Final answer
   x = 16,027.58