Finding the Third Proportional to 12,666.38 and 19,384.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,666.38 : 19,384.31 = 19,384.31 : x
2. Step 2: Convert to fraction form
   12,666.38/19,384.31 = 19,384.31/x
3. Step 3: Cross multiply
   12,666.38x = 19,384.31 × 19,384.31
4. Step 4: Simplify right side
   12,666.38x = 375,751,571.10
5. Step 5: Solve for x
   x = 375,751,571.10/12,666.38
6. Step 6: Final answer
   x = 29,665.28