Finding the Third Proportional to 17,277 and 37,269

Step by Step Solution

1. Step 1: Write the proportion equation
   17,277 : 37,269 = 37,269 : x
2. Step 2: Convert to fraction form
   17,277/37,269 = 37,269/x
3. Step 3: Cross multiply
   17,277x = 37,269 × 37,269
4. Step 4: Simplify right side
   17,277x = 1,388,978,361
5. Step 5: Solve for x
   x = 1,388,978,361/17,277
6. Step 6: Final answer
   x = 80,394.65