Finding the Third Proportional to 19,648 and 31,002

Step by Step Solution

1. Step 1: Write the proportion equation
   19,648 : 31,002 = 31,002 : x
2. Step 2: Convert to fraction form
   19,648/31,002 = 31,002/x
3. Step 3: Cross multiply
   19,648x = 31,002 × 31,002
4. Step 4: Simplify right side
   19,648x = 961,124,004
5. Step 5: Solve for x
   x = 961,124,004/19,648
6. Step 6: Final answer
   x = 48,917.14