Finding the Third Proportional to 17,338 and 37,538

Step by Step Solution

1. Step 1: Write the proportion equation
   17,338 : 37,538 = 37,538 : x
2. Step 2: Convert to fraction form
   17,338/37,538 = 37,538/x
3. Step 3: Cross multiply
   17,338x = 37,538 × 37,538
4. Step 4: Simplify right side
   17,338x = 1,409,101,444
5. Step 5: Solve for x
   x = 1,409,101,444/17,338
6. Step 6: Final answer
   x = 81,272.43