Finding the Third Proportional to 4,222.13 and 9,196.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,222.13 : 9,196.88 = 9,196.88 : x
2. Step 2: Convert to fraction form
   4,222.13/9,196.88 = 9,196.88/x
3. Step 3: Cross multiply
   4,222.13x = 9,196.88 × 9,196.88
4. Step 4: Simplify right side
   4,222.13x = 84,582,509.77
5. Step 5: Solve for x
   x = 84,582,509.77/4,222.13
6. Step 6: Final answer
   x = 20,033.16