Finding the Third Proportional to 32,055 and 69,647

Step by Step Solution

1. Step 1: Write the proportion equation
   32,055 : 69,647 = 69,647 : x
2. Step 2: Convert to fraction form
   32,055/69,647 = 69,647/x
3. Step 3: Cross multiply
   32,055x = 69,647 × 69,647
4. Step 4: Simplify right side
   32,055x = 4,850,704,609
5. Step 5: Solve for x
   x = 4,850,704,609/32,055
6. Step 6: Final answer
   x = 151,324.43