Finding the Third Proportional to 41,775.75 and 91,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,775.75 : 91,874.25 = 91,874.25 : x
2. Step 2: Convert to fraction form
   41,775.75/91,874.25 = 91,874.25/x
3. Step 3: Cross multiply
   41,775.75x = 91,874.25 × 91,874.25
4. Step 4: Simplify right side
   41,775.75x = 8,440,877,813.06
5. Step 5: Solve for x
   x = 8,440,877,813.06/41,775.75
6. Step 6: Final answer
   x = 202,052.10