Finding the Third Proportional to 19,972 and 31,036

Step by Step Solution

1. Step 1: Write the proportion equation
   19,972 : 31,036 = 31,036 : x
2. Step 2: Convert to fraction form
   19,972/31,036 = 31,036/x
3. Step 3: Cross multiply
   19,972x = 31,036 × 31,036
4. Step 4: Simplify right side
   19,972x = 963,233,296
5. Step 5: Solve for x
   x = 963,233,296/19,972
6. Step 6: Final answer
   x = 48,229.19