Finding the Third Proportional to 75,709.69 and 82,783.27

Step by Step Solution

1. Step 1: Write the proportion equation
   75,709.69 : 82,783.27 = 82,783.27 : x
2. Step 2: Convert to fraction form
   75,709.69/82,783.27 = 82,783.27/x
3. Step 3: Cross multiply
   75,709.69x = 82,783.27 × 82,783.27
4. Step 4: Simplify right side
   75,709.69x = 6,853,069,067.54
5. Step 5: Solve for x
   x = 6,853,069,067.54/75,709.69
6. Step 6: Final answer
   x = 90,517.73