Finding the Third Proportional to 31,431 and 42,711

Step by Step Solution

1. Step 1: Write the proportion equation
   31,431 : 42,711 = 42,711 : x
2. Step 2: Convert to fraction form
   31,431/42,711 = 42,711/x
3. Step 3: Cross multiply
   31,431x = 42,711 × 42,711
4. Step 4: Simplify right side
   31,431x = 1,824,229,521
5. Step 5: Solve for x
   x = 1,824,229,521/31,431
6. Step 6: Final answer
   x = 58,039.18