Finding the Third Proportional to 31,962 and 50,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,962 : 50,035.50 = 50,035.50 : x
2. Step 2: Convert to fraction form
   31,962/50,035.50 = 50,035.50/x
3. Step 3: Cross multiply
   31,962x = 50,035.50 × 50,035.50
4. Step 4: Simplify right side
   31,962x = 2,503,551,260.25
5. Step 5: Solve for x
   x = 2,503,551,260.25/31,962
6. Step 6: Final answer
   x = 78,328.99