Finding the Third Proportional to 9,663 and 21,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663 : 21,169.50 = 21,169.50 : x
2. Step 2: Convert to fraction form
   9,663/21,169.50 = 21,169.50/x
3. Step 3: Cross multiply
   9,663x = 21,169.50 × 21,169.50
4. Step 4: Simplify right side
   9,663x = 448,147,730.25
5. Step 5: Solve for x
   x = 448,147,730.25/9,663
6. Step 6: Final answer
   x = 46,377.70