Finding the Third Proportional to 39,195.38 and 85,896.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,195.38 : 85,896.75 = 85,896.75 : x
2. Step 2: Convert to fraction form
   39,195.38/85,896.75 = 85,896.75/x
3. Step 3: Cross multiply
   39,195.38x = 85,896.75 × 85,896.75
4. Step 4: Simplify right side
   39,195.38x = 7,378,251,660.56
5. Step 5: Solve for x
   x = 7,378,251,660.56/39,195.38
6. Step 6: Final answer
   x = 188,242.92