Finding the Third Proportional to 9,208.50 and 14,162.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,208.50 : 14,162.63 = 14,162.63 : x
2. Step 2: Convert to fraction form
   9,208.50/14,162.63 = 14,162.63/x
3. Step 3: Cross multiply
   9,208.50x = 14,162.63 × 14,162.63
4. Step 4: Simplify right side
   9,208.50x = 200,579,946.89
5. Step 5: Solve for x
   x = 200,579,946.89/9,208.50
6. Step 6: Final answer
   x = 21,782.04