Finding the Third Proportional to 31,512 and 41,580

Step by Step Solution

1. Step 1: Write the proportion equation
   31,512 : 41,580 = 41,580 : x
2. Step 2: Convert to fraction form
   31,512/41,580 = 41,580/x
3. Step 3: Cross multiply
   31,512x = 41,580 × 41,580
4. Step 4: Simplify right side
   31,512x = 1,728,896,400
5. Step 5: Solve for x
   x = 1,728,896,400/31,512
6. Step 6: Final answer
   x = 54,864.70