Finding the Third Proportional to 6,738.38 and 14,772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.38 : 14,772.75 = 14,772.75 : x
2. Step 2: Convert to fraction form
   6,738.38/14,772.75 = 14,772.75/x
3. Step 3: Cross multiply
   6,738.38x = 14,772.75 × 14,772.75
4. Step 4: Simplify right side
   6,738.38x = 218,234,142.56
5. Step 5: Solve for x
   x = 218,234,142.56/6,738.38
6. Step 6: Final answer
   x = 32,386.76