Finding the Third Proportional to 31,822 and 40,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,822 : 40,380 = 40,380 : x
2. Step 2: Convert to fraction form
   31,822/40,380 = 40,380/x
3. Step 3: Cross multiply
   31,822x = 40,380 × 40,380
4. Step 4: Simplify right side
   31,822x = 1,630,544,400
5. Step 5: Solve for x
   x = 1,630,544,400/31,822
6. Step 6: Final answer
   x = 51,239.53