Finding the Third Proportional to 12,666.38 and 19,495.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,666.38 : 19,495.69 = 19,495.69 : x
2. Step 2: Convert to fraction form
   12,666.38/19,495.69 = 19,495.69/x
3. Step 3: Cross multiply
   12,666.38x = 19,495.69 × 19,495.69
4. Step 4: Simplify right side
   12,666.38x = 380,081,831.10
5. Step 5: Solve for x
   x = 380,081,831.10/12,666.38
6. Step 6: Final answer
   x = 30,007.15