Finding the Third Proportional to 12,651.75 and 19,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,651.75 : 19,205.25 = 19,205.25 : x
2. Step 2: Convert to fraction form
   12,651.75/19,205.25 = 19,205.25/x
3. Step 3: Cross multiply
   12,651.75x = 19,205.25 × 19,205.25
4. Step 4: Simplify right side
   12,651.75x = 368,841,627.56
5. Step 5: Solve for x
   x = 368,841,627.56/12,651.75
6. Step 6: Final answer
   x = 29,153.41