Finding the Third Proportional to 14,188 and 19,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,188 : 19,883.50 = 19,883.50 : x
2. Step 2: Convert to fraction form
   14,188/19,883.50 = 19,883.50/x
3. Step 3: Cross multiply
   14,188x = 19,883.50 × 19,883.50
4. Step 4: Simplify right side
   14,188x = 395,353,572.25
5. Step 5: Solve for x
   x = 395,353,572.25/14,188
6. Step 6: Final answer
   x = 27,865.35