Finding the Third Proportional to 27,382 and 42,282

Step by Step Solution

1. Step 1: Write the proportion equation
   27,382 : 42,282 = 42,282 : x
2. Step 2: Convert to fraction form
   27,382/42,282 = 42,282/x
3. Step 3: Cross multiply
   27,382x = 42,282 × 42,282
4. Step 4: Simplify right side
   27,382x = 1,787,767,524
5. Step 5: Solve for x
   x = 1,787,767,524/27,382
6. Step 6: Final answer
   x = 65,289.88