Finding the Third Proportional to 43,825 and 65,662

Step by Step Solution

1. Step 1: Write the proportion equation
   43,825 : 65,662 = 65,662 : x
2. Step 2: Convert to fraction form
   43,825/65,662 = 65,662/x
3. Step 3: Cross multiply
   43,825x = 65,662 × 65,662
4. Step 4: Simplify right side
   43,825x = 4,311,498,244
5. Step 5: Solve for x
   x = 4,311,498,244/43,825
6. Step 6: Final answer
   x = 98,379.88