Finding the Third Proportional to 14,419 and 31,969

Step by Step Solution

1. Step 1: Write the proportion equation
   14,419 : 31,969 = 31,969 : x
2. Step 2: Convert to fraction form
   14,419/31,969 = 31,969/x
3. Step 3: Cross multiply
   14,419x = 31,969 × 31,969
4. Step 4: Simplify right side
   14,419x = 1,022,016,961
5. Step 5: Solve for x
   x = 1,022,016,961/14,419
6. Step 6: Final answer
   x = 70,879.88