Finding the Third Proportional to 23,478 and 31,976

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478 : 31,976 = 31,976 : x
2. Step 2: Convert to fraction form
   23,478/31,976 = 31,976/x
3. Step 3: Cross multiply
   23,478x = 31,976 × 31,976
4. Step 4: Simplify right side
   23,478x = 1,022,464,576
5. Step 5: Solve for x
   x = 1,022,464,576/23,478
6. Step 6: Final answer
   x = 43,549.90