Finding the Third Proportional to 1,537.73 and 3,297.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.73 : 3,297.59 = 3,297.59 : x
2. Step 2: Convert to fraction form
   1,537.73/3,297.59 = 3,297.59/x
3. Step 3: Cross multiply
   1,537.73x = 3,297.59 × 3,297.59
4. Step 4: Simplify right side
   1,537.73x = 10,874,073.02
5. Step 5: Solve for x
   x = 10,874,073.02/1,537.73
6. Step 6: Final answer
   x = 7,071.49