Finding the Third Proportional to 3,852.75 and 8,419.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.75 : 8,419.10 = 8,419.10 : x
2. Step 2: Convert to fraction form
   3,852.75/8,419.10 = 8,419.10/x
3. Step 3: Cross multiply
   3,852.75x = 8,419.10 × 8,419.10
4. Step 4: Simplify right side
   3,852.75x = 70,881,172.46
5. Step 5: Solve for x
   x = 70,881,172.46/3,852.75
6. Step 6: Final answer
   x = 18,397.57