Finding the Third Proportional to 10,198.50 and 14,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198.50 : 14,906.25 = 14,906.25 : x
2. Step 2: Convert to fraction form
   10,198.50/14,906.25 = 14,906.25/x
3. Step 3: Cross multiply
   10,198.50x = 14,906.25 × 14,906.25
4. Step 4: Simplify right side
   10,198.50x = 222,196,289.06
5. Step 5: Solve for x
   x = 222,196,289.06/10,198.50
6. Step 6: Final answer
   x = 21,787.15