Finding the Third Proportional to 3,886.50 and 8,322

Step by Step Solution

1. Step 1: Write the proportion equation
   3,886.50 : 8,322 = 8,322 : x
2. Step 2: Convert to fraction form
   3,886.50/8,322 = 8,322/x
3. Step 3: Cross multiply
   3,886.50x = 8,322 × 8,322
4. Step 4: Simplify right side
   3,886.50x = 69,255,684
5. Step 5: Solve for x
   x = 69,255,684/3,886.50
6. Step 6: Final answer
   x = 17,819.55