Finding the Third Proportional to 31,917 and 50,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,917 : 50,683.50 = 50,683.50 : x
2. Step 2: Convert to fraction form
   31,917/50,683.50 = 50,683.50/x
3. Step 3: Cross multiply
   31,917x = 50,683.50 × 50,683.50
4. Step 4: Simplify right side
   31,917x = 2,568,817,172.25
5. Step 5: Solve for x
   x = 2,568,817,172.25/31,917
6. Step 6: Final answer
   x = 80,484.29