Finding the Third Proportional to 31,834 and 48,443

Step by Step Solution

1. Step 1: Write the proportion equation
   31,834 : 48,443 = 48,443 : x
2. Step 2: Convert to fraction form
   31,834/48,443 = 48,443/x
3. Step 3: Cross multiply
   31,834x = 48,443 × 48,443
4. Step 4: Simplify right side
   31,834x = 2,346,724,249
5. Step 5: Solve for x
   x = 2,346,724,249/31,834
6. Step 6: Final answer
   x = 73,717.54