Finding the Third Proportional to 9,788.34 and 12,806.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.34 : 12,806.86 = 12,806.86 : x
2. Step 2: Convert to fraction form
   9,788.34/12,806.86 = 12,806.86/x
3. Step 3: Cross multiply
   9,788.34x = 12,806.86 × 12,806.86
4. Step 4: Simplify right side
   9,788.34x = 164,015,647.05
5. Step 5: Solve for x
   x = 164,015,647.05/9,788.34
6. Step 6: Final answer
   x = 16,756.22