Finding the Third Proportional to 31,176 and 42,593

Step by Step Solution

1. Step 1: Write the proportion equation
   31,176 : 42,593 = 42,593 : x
2. Step 2: Convert to fraction form
   31,176/42,593 = 42,593/x
3. Step 3: Cross multiply
   31,176x = 42,593 × 42,593
4. Step 4: Simplify right side
   31,176x = 1,814,163,649
5. Step 5: Solve for x
   x = 1,814,163,649/31,176
6. Step 6: Final answer
   x = 58,191.03