Finding the Third Proportional to 42,642 and 59,647

Step by Step Solution

1. Step 1: Write the proportion equation
   42,642 : 59,647 = 59,647 : x
2. Step 2: Convert to fraction form
   42,642/59,647 = 59,647/x
3. Step 3: Cross multiply
   42,642x = 59,647 × 59,647
4. Step 4: Simplify right side
   42,642x = 3,557,764,609
5. Step 5: Solve for x
   x = 3,557,764,609/42,642
6. Step 6: Final answer
   x = 83,433.34