Finding the Third Proportional to 12,824.25 and 19,185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824.25 : 19,185.75 = 19,185.75 : x
2. Step 2: Convert to fraction form
   12,824.25/19,185.75 = 19,185.75/x
3. Step 3: Cross multiply
   12,824.25x = 19,185.75 × 19,185.75
4. Step 4: Simplify right side
   12,824.25x = 368,093,003.06
5. Step 5: Solve for x
   x = 368,093,003.06/12,824.25
6. Step 6: Final answer
   x = 28,702.89