Finding the Third Proportional to 1,537.31 and 3,404.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.31 : 3,404.53 = 3,404.53 : x
2. Step 2: Convert to fraction form
   1,537.31/3,404.53 = 3,404.53/x
3. Step 3: Cross multiply
   1,537.31x = 3,404.53 × 3,404.53
4. Step 4: Simplify right side
   1,537.31x = 11,590,833.03
5. Step 5: Solve for x
   x = 11,590,833.03/1,537.31
6. Step 6: Final answer
   x = 7,539.67