Finding the Third Proportional to 1,516.08 and 2,314.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.08 : 2,314.62 = 2,314.62 : x
2. Step 2: Convert to fraction form
   1,516.08/2,314.62 = 2,314.62/x
3. Step 3: Cross multiply
   1,516.08x = 2,314.62 × 2,314.62
4. Step 4: Simplify right side
   1,516.08x = 5,357,452.72
5. Step 5: Solve for x
   x = 5,357,452.72/1,516.08
6. Step 6: Final answer
   x = 3,533.76