Finding the Third Proportional to 9,796 and 14,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 14,923.50 = 14,923.50 : x
2. Step 2: Convert to fraction form
   9,796/14,923.50 = 14,923.50/x
3. Step 3: Cross multiply
   9,796x = 14,923.50 × 14,923.50
4. Step 4: Simplify right side
   9,796x = 222,710,852.25
5. Step 5: Solve for x
   x = 222,710,852.25/9,796
6. Step 6: Final answer
   x = 22,734.88