Finding the Third Proportional to 13,137.75 and 19,709.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,137.75 : 19,709.25 = 19,709.25 : x
2. Step 2: Convert to fraction form
   13,137.75/19,709.25 = 19,709.25/x
3. Step 3: Cross multiply
   13,137.75x = 19,709.25 × 19,709.25
4. Step 4: Simplify right side
   13,137.75x = 388,454,535.56
5. Step 5: Solve for x
   x = 388,454,535.56/13,137.75
6. Step 6: Final answer
   x = 29,567.81