Finding the Third Proportional to 15,538 and 17,770

Step by Step Solution

1. Step 1: Write the proportion equation
   15,538 : 17,770 = 17,770 : x
2. Step 2: Convert to fraction form
   15,538/17,770 = 17,770/x
3. Step 3: Cross multiply
   15,538x = 17,770 × 17,770
4. Step 4: Simplify right side
   15,538x = 315,772,900
5. Step 5: Solve for x
   x = 315,772,900/15,538
6. Step 6: Final answer
   x = 20,322.62