Finding the Third Proportional to 1,513.69 and 2,212.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 2,212.31 = 2,212.31 : x
2. Step 2: Convert to fraction form
   1,513.69/2,212.31 = 2,212.31/x
3. Step 3: Cross multiply
   1,513.69x = 2,212.31 × 2,212.31
4. Step 4: Simplify right side
   1,513.69x = 4,894,326.60
5. Step 5: Solve for x
   x = 4,894,326.60/1,513.69
6. Step 6: Final answer
   x = 3,233.38