Finding the Third Proportional to 4,538.81 and 9,622.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,538.81 : 9,622.69 = 9,622.69 : x
2. Step 2: Convert to fraction form
   4,538.81/9,622.69 = 9,622.69/x
3. Step 3: Cross multiply
   4,538.81x = 9,622.69 × 9,622.69
4. Step 4: Simplify right side
   4,538.81x = 92,596,114.72
5. Step 5: Solve for x
   x = 92,596,114.72/4,538.81
6. Step 6: Final answer
   x = 20,400.96