Finding the Third Proportional to 13,101.75 and 19,713.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,101.75 : 19,713.38 = 19,713.38 : x
2. Step 2: Convert to fraction form
   13,101.75/19,713.38 = 19,713.38/x
3. Step 3: Cross multiply
   13,101.75x = 19,713.38 × 19,713.38
4. Step 4: Simplify right side
   13,101.75x = 388,617,153.89
5. Step 5: Solve for x
   x = 388,617,153.89/13,101.75
6. Step 6: Final answer
   x = 29,661.47