Finding the Third Proportional to 17,642 and 38,740

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642 : 38,740 = 38,740 : x
2. Step 2: Convert to fraction form
   17,642/38,740 = 38,740/x
3. Step 3: Cross multiply
   17,642x = 38,740 × 38,740
4. Step 4: Simplify right side
   17,642x = 1,500,787,600
5. Step 5: Solve for x
   x = 1,500,787,600/17,642
6. Step 6: Final answer
   x = 85,069.02