Finding the Third Proportional to 31,796 and 68,904

Step by Step Solution

1. Step 1: Write the proportion equation
   31,796 : 68,904 = 68,904 : x
2. Step 2: Convert to fraction form
   31,796/68,904 = 68,904/x
3. Step 3: Cross multiply
   31,796x = 68,904 × 68,904
4. Step 4: Simplify right side
   31,796x = 4,747,761,216
5. Step 5: Solve for x
   x = 4,747,761,216/31,796
6. Step 6: Final answer
   x = 149,319.45