Finding the Third Proportional to 12,429 and 19,020.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,429 : 19,020.38 = 19,020.38 : x
2. Step 2: Convert to fraction form
   12,429/19,020.38 = 19,020.38/x
3. Step 3: Cross multiply
   12,429x = 19,020.38 × 19,020.38
4. Step 4: Simplify right side
   12,429x = 361,774,665.14
5. Step 5: Solve for x
   x = 361,774,665.14/12,429
6. Step 6: Final answer
   x = 29,107.30