Finding the Third Proportional to 31,866 and 50,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,866 : 50,626.50 = 50,626.50 : x
2. Step 2: Convert to fraction form
   31,866/50,626.50 = 50,626.50/x
3. Step 3: Cross multiply
   31,866x = 50,626.50 × 50,626.50
4. Step 4: Simplify right side
   31,866x = 2,563,042,502.25
5. Step 5: Solve for x
   x = 2,563,042,502.25/31,866
6. Step 6: Final answer
   x = 80,431.89