Finding the Third Proportional to 31,036 and 41,502

Step by Step Solution

1. Step 1: Write the proportion equation
   31,036 : 41,502 = 41,502 : x
2. Step 2: Convert to fraction form
   31,036/41,502 = 41,502/x
3. Step 3: Cross multiply
   31,036x = 41,502 × 41,502
4. Step 4: Simplify right side
   31,036x = 1,722,416,004
5. Step 5: Solve for x
   x = 1,722,416,004/31,036
6. Step 6: Final answer
   x = 55,497.36