Finding the Third Proportional to 31,041 and 41,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,041 : 41,728.50 = 41,728.50 : x
2. Step 2: Convert to fraction form
   31,041/41,728.50 = 41,728.50/x
3. Step 3: Cross multiply
   31,041x = 41,728.50 × 41,728.50
4. Step 4: Simplify right side
   31,041x = 1,741,267,712.25
5. Step 5: Solve for x
   x = 1,741,267,712.25/31,041
6. Step 6: Final answer
   x = 56,095.74