Finding the Third Proportional to 34,796.25 and 75,843

Step by Step Solution

1. Step 1: Write the proportion equation
   34,796.25 : 75,843 = 75,843 : x
2. Step 2: Convert to fraction form
   34,796.25/75,843 = 75,843/x
3. Step 3: Cross multiply
   34,796.25x = 75,843 × 75,843
4. Step 4: Simplify right side
   34,796.25x = 5,752,160,649
5. Step 5: Solve for x
   x = 5,752,160,649/34,796.25
6. Step 6: Final answer
   x = 165,309.79