Finding the Third Proportional to 42,728 and 65,712

Step by Step Solution

1. Step 1: Write the proportion equation
   42,728 : 65,712 = 65,712 : x
2. Step 2: Convert to fraction form
   42,728/65,712 = 65,712/x
3. Step 3: Cross multiply
   42,728x = 65,712 × 65,712
4. Step 4: Simplify right side
   42,728x = 4,318,066,944
5. Step 5: Solve for x
   x = 4,318,066,944/42,728
6. Step 6: Final answer
   x = 101,059.42