Finding the Third Proportional to 31,408 and 48,570

Step by Step Solution

1. Step 1: Write the proportion equation
   31,408 : 48,570 = 48,570 : x
2. Step 2: Convert to fraction form
   31,408/48,570 = 48,570/x
3. Step 3: Cross multiply
   31,408x = 48,570 × 48,570
4. Step 4: Simplify right side
   31,408x = 2,359,044,900
5. Step 5: Solve for x
   x = 2,359,044,900/31,408
6. Step 6: Final answer
   x = 75,109.68