Finding the Third Proportional to 35,093.25 and 82,842.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,093.25 : 82,842.75 = 82,842.75 : x
2. Step 2: Convert to fraction form
   35,093.25/82,842.75 = 82,842.75/x
3. Step 3: Cross multiply
   35,093.25x = 82,842.75 × 82,842.75
4. Step 4: Simplify right side
   35,093.25x = 6,862,921,227.56
5. Step 5: Solve for x
   x = 6,862,921,227.56/35,093.25
6. Step 6: Final answer
   x = 195,562.43