Finding the Third Proportional to 26,996 and 42,014

Step by Step Solution

1. Step 1: Write the proportion equation
   26,996 : 42,014 = 42,014 : x
2. Step 2: Convert to fraction form
   26,996/42,014 = 42,014/x
3. Step 3: Cross multiply
   26,996x = 42,014 × 42,014
4. Step 4: Simplify right side
   26,996x = 1,765,176,196
5. Step 5: Solve for x
   x = 1,765,176,196/26,996
6. Step 6: Final answer
   x = 65,386.58