Finding the Third Proportional to 31,692 and 68,298

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 68,298 = 68,298 : x
2. Step 2: Convert to fraction form
   31,692/68,298 = 68,298/x
3. Step 3: Cross multiply
   31,692x = 68,298 × 68,298
4. Step 4: Simplify right side
   31,692x = 4,664,616,804
5. Step 5: Solve for x
   x = 4,664,616,804/31,692
6. Step 6: Final answer
   x = 147,185.94