Finding the Third Proportional to 17,557 and 38,270

Step by Step Solution

1. Step 1: Write the proportion equation
   17,557 : 38,270 = 38,270 : x
2. Step 2: Convert to fraction form
   17,557/38,270 = 38,270/x
3. Step 3: Cross multiply
   17,557x = 38,270 × 38,270
4. Step 4: Simplify right side
   17,557x = 1,464,592,900
5. Step 5: Solve for x
   x = 1,464,592,900/17,557
6. Step 6: Final answer
   x = 83,419.31