Finding the Third Proportional to 4,172.34 and 9,164.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,172.34 : 9,164.81 = 9,164.81 : x
2. Step 2: Convert to fraction form
   4,172.34/9,164.81 = 9,164.81/x
3. Step 3: Cross multiply
   4,172.34x = 9,164.81 × 9,164.81
4. Step 4: Simplify right side
   4,172.34x = 83,993,788.16
5. Step 5: Solve for x
   x = 83,993,788.16/4,172.34
6. Step 6: Final answer
   x = 20,131.08