Finding the Third Proportional to 17,740 and 38,720

Step by Step Solution

1. Step 1: Write the proportion equation
   17,740 : 38,720 = 38,720 : x
2. Step 2: Convert to fraction form
   17,740/38,720 = 38,720/x
3. Step 3: Cross multiply
   17,740x = 38,720 × 38,720
4. Step 4: Simplify right side
   17,740x = 1,499,238,400
5. Step 5: Solve for x
   x = 1,499,238,400/17,740
6. Step 6: Final answer
   x = 84,511.75