Finding the Third Proportional to 12,296.81 and 18,547.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,296.81 : 18,547.31 = 18,547.31 : x
2. Step 2: Convert to fraction form
   12,296.81/18,547.31 = 18,547.31/x
3. Step 3: Cross multiply
   12,296.81x = 18,547.31 × 18,547.31
4. Step 4: Simplify right side
   12,296.81x = 344,002,800.97
5. Step 5: Solve for x
   x = 344,002,800.97/12,296.81
6. Step 6: Final answer
   x = 27,974.96