Finding the Third Proportional to 41,888 and 65,157

Step by Step Solution

1. Step 1: Write the proportion equation
   41,888 : 65,157 = 65,157 : x
2. Step 2: Convert to fraction form
   41,888/65,157 = 65,157/x
3. Step 3: Cross multiply
   41,888x = 65,157 × 65,157
4. Step 4: Simplify right side
   41,888x = 4,245,434,649
5. Step 5: Solve for x
   x = 4,245,434,649/41,888
6. Step 6: Final answer
   x = 101,352.05