Finding the Third Proportional to 27,628 and 42,396

Step by Step Solution

1. Step 1: Write the proportion equation
   27,628 : 42,396 = 42,396 : x
2. Step 2: Convert to fraction form
   27,628/42,396 = 42,396/x
3. Step 3: Cross multiply
   27,628x = 42,396 × 42,396
4. Step 4: Simplify right side
   27,628x = 1,797,420,816
5. Step 5: Solve for x
   x = 1,797,420,816/27,628
6. Step 6: Final answer
   x = 65,057.94