Finding the Third Proportional to 23,454 and 31,863

Step by Step Solution

1. Step 1: Write the proportion equation
   23,454 : 31,863 = 31,863 : x
2. Step 2: Convert to fraction form
   23,454/31,863 = 31,863/x
3. Step 3: Cross multiply
   23,454x = 31,863 × 31,863
4. Step 4: Simplify right side
   23,454x = 1,015,250,769
5. Step 5: Solve for x
   x = 1,015,250,769/23,454
6. Step 6: Final answer
   x = 43,286.89