Finding the Third Proportional to 41,920 and 65,431

Step by Step Solution

1. Step 1: Write the proportion equation
   41,920 : 65,431 = 65,431 : x
2. Step 2: Convert to fraction form
   41,920/65,431 = 65,431/x
3. Step 3: Cross multiply
   41,920x = 65,431 × 65,431
4. Step 4: Simplify right side
   41,920x = 4,281,215,761
5. Step 5: Solve for x
   x = 4,281,215,761/41,920
6. Step 6: Final answer
   x = 102,128.24