Finding the Third Proportional to 10,206 and 14,984.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 14,984.37 = 14,984.37 : x
2. Step 2: Convert to fraction form
   10,206/14,984.37 = 14,984.37/x
3. Step 3: Cross multiply
   10,206x = 14,984.37 × 14,984.37
4. Step 4: Simplify right side
   10,206x = 224,531,260.01
5. Step 5: Solve for x
   x = 224,531,260.01/10,206
6. Step 6: Final answer
   x = 21,999.93