Finding the Third Proportional to 12,431.25 and 19,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,431.25 : 19,685.25 = 19,685.25 : x
2. Step 2: Convert to fraction form
   12,431.25/19,685.25 = 19,685.25/x
3. Step 3: Cross multiply
   12,431.25x = 19,685.25 × 19,685.25
4. Step 4: Simplify right side
   12,431.25x = 387,509,067.56
5. Step 5: Solve for x
   x = 387,509,067.56/12,431.25
6. Step 6: Final answer
   x = 31,172.17