Finding the Third Proportional to 1,518.38 and 2,309.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,518.38 : 2,309.06 = 2,309.06 : x
2. Step 2: Convert to fraction form
   1,518.38/2,309.06 = 2,309.06/x
3. Step 3: Cross multiply
   1,518.38x = 2,309.06 × 2,309.06
4. Step 4: Simplify right side
   1,518.38x = 5,331,769.63
5. Step 5: Solve for x
   x = 5,331,769.63/1,518.38
6. Step 6: Final answer
   x = 3,511.50