Finding the Third Proportional to 31,426 and 67,796

Step by Step Solution

1. Step 1: Write the proportion equation
   31,426 : 67,796 = 67,796 : x
2. Step 2: Convert to fraction form
   31,426/67,796 = 67,796/x
3. Step 3: Cross multiply
   31,426x = 67,796 × 67,796
4. Step 4: Simplify right side
   31,426x = 4,596,297,616
5. Step 5: Solve for x
   x = 4,596,297,616/31,426
6. Step 6: Final answer
   x = 146,257.80