Finding the Third Proportional to 31,168 and 42,582

Step by Step Solution

1. Step 1: Write the proportion equation
   31,168 : 42,582 = 42,582 : x
2. Step 2: Convert to fraction form
   31,168/42,582 = 42,582/x
3. Step 3: Cross multiply
   31,168x = 42,582 × 42,582
4. Step 4: Simplify right side
   31,168x = 1,813,226,724
5. Step 5: Solve for x
   x = 1,813,226,724/31,168
6. Step 6: Final answer
   x = 58,175.91