Finding the Third Proportional to 41,625 and 89,903.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,625 : 89,903.25 = 89,903.25 : x
2. Step 2: Convert to fraction form
   41,625/89,903.25 = 89,903.25/x
3. Step 3: Cross multiply
   41,625x = 89,903.25 × 89,903.25
4. Step 4: Simplify right side
   41,625x = 8,082,594,360.56
5. Step 5: Solve for x
   x = 8,082,594,360.56/41,625
6. Step 6: Final answer
   x = 194,176.44