Finding the Third Proportional to 4,549.50 and 9,649.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,549.50 : 9,649.69 = 9,649.69 : x
2. Step 2: Convert to fraction form
   4,549.50/9,649.69 = 9,649.69/x
3. Step 3: Cross multiply
   4,549.50x = 9,649.69 × 9,649.69
4. Step 4: Simplify right side
   4,549.50x = 93,116,468.85
5. Step 5: Solve for x
   x = 93,116,468.85/4,549.50
6. Step 6: Final answer
   x = 20,467.41