Finding the Third Proportional to 10,221 and 14,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221 : 14,287.50 = 14,287.50 : x
2. Step 2: Convert to fraction form
   10,221/14,287.50 = 14,287.50/x
3. Step 3: Cross multiply
   10,221x = 14,287.50 × 14,287.50
4. Step 4: Simplify right side
   10,221x = 204,132,656.25
5. Step 5: Solve for x
   x = 204,132,656.25/10,221
6. Step 6: Final answer
   x = 19,971.89