Finding the Third Proportional to 12,340.13 and 19,603.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,340.13 : 19,603.69 = 19,603.69 : x
2. Step 2: Convert to fraction form
   12,340.13/19,603.69 = 19,603.69/x
3. Step 3: Cross multiply
   12,340.13x = 19,603.69 × 19,603.69
4. Step 4: Simplify right side
   12,340.13x = 384,304,563.60
5. Step 5: Solve for x
   x = 384,304,563.60/12,340.13
6. Step 6: Final answer
   x = 31,142.68