Finding the Third Proportional to 31,668 and 47,004

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 47,004 = 47,004 : x
2. Step 2: Convert to fraction form
   31,668/47,004 = 47,004/x
3. Step 3: Cross multiply
   31,668x = 47,004 × 47,004
4. Step 4: Simplify right side
   31,668x = 2,209,376,016
5. Step 5: Solve for x
   x = 2,209,376,016/31,668
6. Step 6: Final answer
   x = 69,766.83