Finding the Third Proportional to 9,684.56 and 13,797.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.56 : 13,797.84 = 13,797.84 : x
2. Step 2: Convert to fraction form
   9,684.56/13,797.84 = 13,797.84/x
3. Step 3: Cross multiply
   9,684.56x = 13,797.84 × 13,797.84
4. Step 4: Simplify right side
   9,684.56x = 190,380,492.15
5. Step 5: Solve for x
   x = 190,380,492.15/9,684.56
6. Step 6: Final answer
   x = 19,658.14