Finding the Third Proportional to 32,067 and 47,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,067 : 47,821.50 = 47,821.50 : x
2. Step 2: Convert to fraction form
   32,067/47,821.50 = 47,821.50/x
3. Step 3: Cross multiply
   32,067x = 47,821.50 × 47,821.50
4. Step 4: Simplify right side
   32,067x = 2,286,895,862.25
5. Step 5: Solve for x
   x = 2,286,895,862.25/32,067
6. Step 6: Final answer
   x = 71,316.18