Finding the Third Proportional to 14,206 and 19,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,206 : 19,870.50 = 19,870.50 : x
2. Step 2: Convert to fraction form
   14,206/19,870.50 = 19,870.50/x
3. Step 3: Cross multiply
   14,206x = 19,870.50 × 19,870.50
4. Step 4: Simplify right side
   14,206x = 394,836,770.25
5. Step 5: Solve for x
   x = 394,836,770.25/14,206
6. Step 6: Final answer
   x = 27,793.66