Finding the Third Proportional to 27,967 and 42,680

Step by Step Solution

1. Step 1: Write the proportion equation
   27,967 : 42,680 = 42,680 : x
2. Step 2: Convert to fraction form
   27,967/42,680 = 42,680/x
3. Step 3: Cross multiply
   27,967x = 42,680 × 42,680
4. Step 4: Simplify right side
   27,967x = 1,821,582,400
5. Step 5: Solve for x
   x = 1,821,582,400/27,967
6. Step 6: Final answer
   x = 65,133.28