Finding the Third Proportional to 1,918.69 and 4,516.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,918.69 : 4,516.31 = 4,516.31 : x
2. Step 2: Convert to fraction form
   1,918.69/4,516.31 = 4,516.31/x
3. Step 3: Cross multiply
   1,918.69x = 4,516.31 × 4,516.31
4. Step 4: Simplify right side
   1,918.69x = 20,397,078.60
5. Step 5: Solve for x
   x = 20,397,078.60/1,918.69
6. Step 6: Final answer
   x = 10,630.75