Finding the Third Proportional to 32,006 and 47,019

Step by Step Solution

1. Step 1: Write the proportion equation
   32,006 : 47,019 = 47,019 : x
2. Step 2: Convert to fraction form
   32,006/47,019 = 47,019/x
3. Step 3: Cross multiply
   32,006x = 47,019 × 47,019
4. Step 4: Simplify right side
   32,006x = 2,210,786,361
5. Step 5: Solve for x
   x = 2,210,786,361/32,006
6. Step 6: Final answer
   x = 69,074.12