Finding the Third Proportional to 31,549.50 and 41,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,549.50 : 41,431.50 = 41,431.50 : x
2. Step 2: Convert to fraction form
   31,549.50/41,431.50 = 41,431.50/x
3. Step 3: Cross multiply
   31,549.50x = 41,431.50 × 41,431.50
4. Step 4: Simplify right side
   31,549.50x = 1,716,569,192.25
5. Step 5: Solve for x
   x = 1,716,569,192.25/31,549.50
6. Step 6: Final answer
   x = 54,408.76