Finding the Third Proportional to 14,199.75 and 19,859.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,199.75 : 19,859.25 = 19,859.25 : x
2. Step 2: Convert to fraction form
   14,199.75/19,859.25 = 19,859.25/x
3. Step 3: Cross multiply
   14,199.75x = 19,859.25 × 19,859.25
4. Step 4: Simplify right side
   14,199.75x = 394,389,810.56
5. Step 5: Solve for x
   x = 394,389,810.56/14,199.75
6. Step 6: Final answer
   x = 27,774.42