Finding the Third Proportional to 27,768 and 42,342

Step by Step Solution

1. Step 1: Write the proportion equation
   27,768 : 42,342 = 42,342 : x
2. Step 2: Convert to fraction form
   27,768/42,342 = 42,342/x
3. Step 3: Cross multiply
   27,768x = 42,342 × 42,342
4. Step 4: Simplify right side
   27,768x = 1,792,844,964
5. Step 5: Solve for x
   x = 1,792,844,964/27,768
6. Step 6: Final answer
   x = 64,565.15