Finding the Third Proportional to 41,601.75 and 89,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,601.75 : 89,764.50 = 89,764.50 : x
2. Step 2: Convert to fraction form
   41,601.75/89,764.50 = 89,764.50/x
3. Step 3: Cross multiply
   41,601.75x = 89,764.50 × 89,764.50
4. Step 4: Simplify right side
   41,601.75x = 8,057,665,460.25
5. Step 5: Solve for x
   x = 8,057,665,460.25/41,601.75
6. Step 6: Final answer
   x = 193,685.73