Finding the Third Proportional to 40,846 and 65,157

Step by Step Solution

1. Step 1: Write the proportion equation
   40,846 : 65,157 = 65,157 : x
2. Step 2: Convert to fraction form
   40,846/65,157 = 65,157/x
3. Step 3: Cross multiply
   40,846x = 65,157 × 65,157
4. Step 4: Simplify right side
   40,846x = 4,245,434,649
5. Step 5: Solve for x
   x = 4,245,434,649/40,846
6. Step 6: Final answer
   x = 103,937.59