Finding the Third Proportional to 6,788.81 and 14,796.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.81 : 14,796.42 = 14,796.42 : x
2. Step 2: Convert to fraction form
   6,788.81/14,796.42 = 14,796.42/x
3. Step 3: Cross multiply
   6,788.81x = 14,796.42 × 14,796.42
4. Step 4: Simplify right side
   6,788.81x = 218,934,100.30
5. Step 5: Solve for x
   x = 218,934,100.30/6,788.81
6. Step 6: Final answer
   x = 32,249.25