Finding the Third Proportional to 6,756.75 and 14,743.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,756.75 : 14,743.69 = 14,743.69 : x
2. Step 2: Convert to fraction form
   6,756.75/14,743.69 = 14,743.69/x
3. Step 3: Cross multiply
   6,756.75x = 14,743.69 × 14,743.69
4. Step 4: Simplify right side
   6,756.75x = 217,376,321.10
5. Step 5: Solve for x
   x = 217,376,321.10/6,756.75
6. Step 6: Final answer
   x = 32,171.73