Finding the Third Proportional to 41,603.50 and 89,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,603.50 : 89,767.50 = 89,767.50 : x
2. Step 2: Convert to fraction form
   41,603.50/89,767.50 = 89,767.50/x
3. Step 3: Cross multiply
   41,603.50x = 89,767.50 × 89,767.50
4. Step 4: Simplify right side
   41,603.50x = 8,058,204,056.25
5. Step 5: Solve for x
   x = 8,058,204,056.25/41,603.50
6. Step 6: Final answer
   x = 193,690.53