Finding the Third Proportional to 14,596 and 31,976

Step by Step Solution

1. Step 1: Write the proportion equation
   14,596 : 31,976 = 31,976 : x
2. Step 2: Convert to fraction form
   14,596/31,976 = 31,976/x
3. Step 3: Cross multiply
   14,596x = 31,976 × 31,976
4. Step 4: Simplify right side
   14,596x = 1,022,464,576
5. Step 5: Solve for x
   x = 1,022,464,576/14,596
6. Step 6: Final answer
   x = 70,051.01