Finding the Third Proportional to 17,642 and 42,647

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642 : 42,647 = 42,647 : x
2. Step 2: Convert to fraction form
   17,642/42,647 = 42,647/x
3. Step 3: Cross multiply
   17,642x = 42,647 × 42,647
4. Step 4: Simplify right side
   17,642x = 1,818,766,609
5. Step 5: Solve for x
   x = 1,818,766,609/17,642
6. Step 6: Final answer
   x = 103,092.99