Finding the Third Proportional to 8,322 and 12,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,322 : 12,886.50 = 12,886.50 : x
2. Step 2: Convert to fraction form
   8,322/12,886.50 = 12,886.50/x
3. Step 3: Cross multiply
   8,322x = 12,886.50 × 12,886.50
4. Step 4: Simplify right side
   8,322x = 166,061,882.25
5. Step 5: Solve for x
   x = 166,061,882.25/8,322
6. Step 6: Final answer
   x = 19,954.56