Finding the Third Proportional to 31,438 and 41,970

Step by Step Solution

1. Step 1: Write the proportion equation
   31,438 : 41,970 = 41,970 : x
2. Step 2: Convert to fraction form
   31,438/41,970 = 41,970/x
3. Step 3: Cross multiply
   31,438x = 41,970 × 41,970
4. Step 4: Simplify right side
   31,438x = 1,761,480,900
5. Step 5: Solve for x
   x = 1,761,480,900/31,438
6. Step 6: Final answer
   x = 56,030.31