Finding the Third Proportional to 1,537.31 and 3,160.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.31 : 3,160.69 = 3,160.69 : x
2. Step 2: Convert to fraction form
   1,537.31/3,160.69 = 3,160.69/x
3. Step 3: Cross multiply
   1,537.31x = 3,160.69 × 3,160.69
4. Step 4: Simplify right side
   1,537.31x = 9,989,945.47
5. Step 5: Solve for x
   x = 9,989,945.47/1,537.31
6. Step 6: Final answer
   x = 6,498.32