Finding the Third Proportional to 41,538.38 and 91,383.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,538.38 : 91,383.75 = 91,383.75 : x
2. Step 2: Convert to fraction form
   41,538.38/91,383.75 = 91,383.75/x
3. Step 3: Cross multiply
   41,538.38x = 91,383.75 × 91,383.75
4. Step 4: Simplify right side
   41,538.38x = 8,350,989,764.06
5. Step 5: Solve for x
   x = 8,350,989,764.06/41,538.38
6. Step 6: Final answer
   x = 201,042.77