Finding the Third Proportional to 9,723 and 14,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723 : 14,662.50 = 14,662.50 : x
2. Step 2: Convert to fraction form
   9,723/14,662.50 = 14,662.50/x
3. Step 3: Cross multiply
   9,723x = 14,662.50 × 14,662.50
4. Step 4: Simplify right side
   9,723x = 214,988,906.25
5. Step 5: Solve for x
   x = 214,988,906.25/9,723
6. Step 6: Final answer
   x = 22,111.38