Finding the Third Proportional to 1,516.59 and 3,215.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.59 : 3,215.53 = 3,215.53 : x
2. Step 2: Convert to fraction form
   1,516.59/3,215.53 = 3,215.53/x
3. Step 3: Cross multiply
   1,516.59x = 3,215.53 × 3,215.53
4. Step 4: Simplify right side
   1,516.59x = 10,339,641.22
5. Step 5: Solve for x
   x = 10,339,641.22/1,516.59
6. Step 6: Final answer
   x = 6,817.67