Finding the Third Proportional to 31,694 and 67,634

Step by Step Solution

1. Step 1: Write the proportion equation
   31,694 : 67,634 = 67,634 : x
2. Step 2: Convert to fraction form
   31,694/67,634 = 67,634/x
3. Step 3: Cross multiply
   31,694x = 67,634 × 67,634
4. Step 4: Simplify right side
   31,694x = 4,574,357,956
5. Step 5: Solve for x
   x = 4,574,357,956/31,694
6. Step 6: Final answer
   x = 144,328.83