Finding the Third Proportional to 3,834.94 and 8,216.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.94 : 8,216.06 = 8,216.06 : x
2. Step 2: Convert to fraction form
   3,834.94/8,216.06 = 8,216.06/x
3. Step 3: Cross multiply
   3,834.94x = 8,216.06 × 8,216.06
4. Step 4: Simplify right side
   3,834.94x = 67,503,683.00
5. Step 5: Solve for x
   x = 67,503,683.00/3,834.94
6. Step 6: Final answer
   x = 17,602.29