Finding the Third Proportional to 42,842 and 65,895

Step by Step Solution

1. Step 1: Write the proportion equation
   42,842 : 65,895 = 65,895 : x
2. Step 2: Convert to fraction form
   42,842/65,895 = 65,895/x
3. Step 3: Cross multiply
   42,842x = 65,895 × 65,895
4. Step 4: Simplify right side
   42,842x = 4,342,151,025
5. Step 5: Solve for x
   x = 4,342,151,025/42,842
6. Step 6: Final answer
   x = 101,352.67