Finding the Third Proportional to 31,826 and 69,004

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 69,004 = 69,004 : x
2. Step 2: Convert to fraction form
   31,826/69,004 = 69,004/x
3. Step 3: Cross multiply
   31,826x = 69,004 × 69,004
4. Step 4: Simplify right side
   31,826x = 4,761,552,016
5. Step 5: Solve for x
   x = 4,761,552,016/31,826
6. Step 6: Final answer
   x = 149,612.02