Finding the Third Proportional to 9,636 and 14,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 14,803.50 = 14,803.50 : x
2. Step 2: Convert to fraction form
   9,636/14,803.50 = 14,803.50/x
3. Step 3: Cross multiply
   9,636x = 14,803.50 × 14,803.50
4. Step 4: Simplify right side
   9,636x = 219,143,612.25
5. Step 5: Solve for x
   x = 219,143,612.25/9,636
6. Step 6: Final answer
   x = 22,742.18