Finding the Third Proportional to 4,114.13 and 9,505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.13 : 9,505.69 = 9,505.69 : x
2. Step 2: Convert to fraction form
   4,114.13/9,505.69 = 9,505.69/x
3. Step 3: Cross multiply
   4,114.13x = 9,505.69 × 9,505.69
4. Step 4: Simplify right side
   4,114.13x = 90,358,094.85
5. Step 5: Solve for x
   x = 90,358,094.85/4,114.13
6. Step 6: Final answer
   x = 21,962.89