Finding the Third Proportional to 6,825.94 and 14,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825.94 : 14,728.50 = 14,728.50 : x
2. Step 2: Convert to fraction form
   6,825.94/14,728.50 = 14,728.50/x
3. Step 3: Cross multiply
   6,825.94x = 14,728.50 × 14,728.50
4. Step 4: Simplify right side
   6,825.94x = 216,928,712.25
5. Step 5: Solve for x
   x = 216,928,712.25/6,825.94
6. Step 6: Final answer
   x = 31,780.06