Finding the Third Proportional to 42,084 and 65,462

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 65,462 = 65,462 : x
2. Step 2: Convert to fraction form
   42,084/65,462 = 65,462/x
3. Step 3: Cross multiply
   42,084x = 65,462 × 65,462
4. Step 4: Simplify right side
   42,084x = 4,285,273,444
5. Step 5: Solve for x
   x = 4,285,273,444/42,084
6. Step 6: Final answer
   x = 101,826.67