Finding the Third Proportional to 42,518 and 89,647

Step by Step Solution

1. Step 1: Write the proportion equation
   42,518 : 89,647 = 89,647 : x
2. Step 2: Convert to fraction form
   42,518/89,647 = 89,647/x
3. Step 3: Cross multiply
   42,518x = 89,647 × 89,647
4. Step 4: Simplify right side
   42,518x = 8,036,584,609
5. Step 5: Solve for x
   x = 8,036,584,609/42,518
6. Step 6: Final answer
   x = 189,016.05