Finding the Third Proportional to 31,328 and 45,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,328 : 45,742 = 45,742 : x
2. Step 2: Convert to fraction form
   31,328/45,742 = 45,742/x
3. Step 3: Cross multiply
   31,328x = 45,742 × 45,742
4. Step 4: Simplify right side
   31,328x = 2,092,330,564
5. Step 5: Solve for x
   x = 2,092,330,564/31,328
6. Step 6: Final answer
   x = 66,787.88