Finding the Third Proportional to 32,004 and 47,016

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 47,016 = 47,016 : x
2. Step 2: Convert to fraction form
   32,004/47,016 = 47,016/x
3. Step 3: Cross multiply
   32,004x = 47,016 × 47,016
4. Step 4: Simplify right side
   32,004x = 2,210,504,256
5. Step 5: Solve for x
   x = 2,210,504,256/32,004
6. Step 6: Final answer
   x = 69,069.62