Finding the Third Proportional to 40,842 and 65,151

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 65,151 = 65,151 : x
2. Step 2: Convert to fraction form
   40,842/65,151 = 65,151/x
3. Step 3: Cross multiply
   40,842x = 65,151 × 65,151
4. Step 4: Simplify right side
   40,842x = 4,244,652,801
5. Step 5: Solve for x
   x = 4,244,652,801/40,842
6. Step 6: Final answer
   x = 103,928.62