Finding the Third Proportional to 31,774 and 42,361

Step by Step Solution

1. Step 1: Write the proportion equation
   31,774 : 42,361 = 42,361 : x
2. Step 2: Convert to fraction form
   31,774/42,361 = 42,361/x
3. Step 3: Cross multiply
   31,774x = 42,361 × 42,361
4. Step 4: Simplify right side
   31,774x = 1,794,454,321
5. Step 5: Solve for x
   x = 1,794,454,321/31,774
6. Step 6: Final answer
   x = 56,475.56