Finding the Third Proportional to 1,505.67 and 3,160.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.67 : 3,160.27 = 3,160.27 : x
2. Step 2: Convert to fraction form
   1,505.67/3,160.27 = 3,160.27/x
3. Step 3: Cross multiply
   1,505.67x = 3,160.27 × 3,160.27
4. Step 4: Simplify right side
   1,505.67x = 9,987,278.82
5. Step 5: Solve for x
   x = 9,987,278.82/1,505.67
6. Step 6: Final answer
   x = 6,633.10