Finding the Third Proportional to 1,516.41 and 3,162.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.41 : 3,162.47 = 3,162.47 : x
2. Step 2: Convert to fraction form
   1,516.41/3,162.47 = 3,162.47/x
3. Step 3: Cross multiply
   1,516.41x = 3,162.47 × 3,162.47
4. Step 4: Simplify right side
   1,516.41x = 10,001,208.59
5. Step 5: Solve for x
   x = 10,001,208.59/1,516.41
6. Step 6: Final answer
   x = 6,595.34