Finding the Third Proportional to 1,513.69 and 1,911.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 1,911.09 = 1,911.09 : x
2. Step 2: Convert to fraction form
   1,513.69/1,911.09 = 1,911.09/x
3. Step 3: Cross multiply
   1,513.69x = 1,911.09 × 1,911.09
4. Step 4: Simplify right side
   1,513.69x = 3,652,279.32
5. Step 5: Solve for x
   x = 3,652,279.32/1,513.69
6. Step 6: Final answer
   x = 2,412.84