Finding the Third Proportional to 3,874.50 and 8,483.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.50 : 8,483.06 = 8,483.06 : x
2. Step 2: Convert to fraction form
   3,874.50/8,483.06 = 8,483.06/x
3. Step 3: Cross multiply
   3,874.50x = 8,483.06 × 8,483.06
4. Step 4: Simplify right side
   3,874.50x = 71,962,349.38
5. Step 5: Solve for x
   x = 71,962,349.38/3,874.50
6. Step 6: Final answer
   x = 18,573.33