Finding the Third Proportional to 31,145 and 41,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,145 : 41,965.50 = 41,965.50 : x
2. Step 2: Convert to fraction form
   31,145/41,965.50 = 41,965.50/x
3. Step 3: Cross multiply
   31,145x = 41,965.50 × 41,965.50
4. Step 4: Simplify right side
   31,145x = 1,761,103,190.25
5. Step 5: Solve for x
   x = 1,761,103,190.25/31,145
6. Step 6: Final answer
   x = 56,545.29