Finding the Third Proportional to 31,492 and 50,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,492 : 50,742 = 50,742 : x
2. Step 2: Convert to fraction form
   31,492/50,742 = 50,742/x
3. Step 3: Cross multiply
   31,492x = 50,742 × 50,742
4. Step 4: Simplify right side
   31,492x = 2,574,750,564
5. Step 5: Solve for x
   x = 2,574,750,564/31,492
6. Step 6: Final answer
   x = 81,758.88