Finding the Third Proportional to 41,825 and 89,400

Step by Step Solution

1. Step 1: Write the proportion equation
   41,825 : 89,400 = 89,400 : x
2. Step 2: Convert to fraction form
   41,825/89,400 = 89,400/x
3. Step 3: Cross multiply
   41,825x = 89,400 × 89,400
4. Step 4: Simplify right side
   41,825x = 7,992,360,000
5. Step 5: Solve for x
   x = 7,992,360,000/41,825
6. Step 6: Final answer
   x = 191,090.50