Finding the Third Proportional to 31,972 and 48,404

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972 : 48,404 = 48,404 : x
2. Step 2: Convert to fraction form
   31,972/48,404 = 48,404/x
3. Step 3: Cross multiply
   31,972x = 48,404 × 48,404
4. Step 4: Simplify right side
   31,972x = 2,342,947,216
5. Step 5: Solve for x
   x = 2,342,947,216/31,972
6. Step 6: Final answer
   x = 73,281.22