Finding the Third Proportional to 23,266 and 31,278

Step by Step Solution

1. Step 1: Write the proportion equation
   23,266 : 31,278 = 31,278 : x
2. Step 2: Convert to fraction form
   23,266/31,278 = 31,278/x
3. Step 3: Cross multiply
   23,266x = 31,278 × 31,278
4. Step 4: Simplify right side
   23,266x = 978,313,284
5. Step 5: Solve for x
   x = 978,313,284/23,266
6. Step 6: Final answer
   x = 42,049.05