Finding the Third Proportional to 10,196.50 and 14,359

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.50 : 14,359 = 14,359 : x
2. Step 2: Convert to fraction form
   10,196.50/14,359 = 14,359/x
3. Step 3: Cross multiply
   10,196.50x = 14,359 × 14,359
4. Step 4: Simplify right side
   10,196.50x = 206,180,881
5. Step 5: Solve for x
   x = 206,180,881/10,196.50
6. Step 6: Final answer
   x = 20,220.75