Finding the Third Proportional to 4,196.63 and 8,825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.63 : 8,825.25 = 8,825.25 : x
2. Step 2: Convert to fraction form
   4,196.63/8,825.25 = 8,825.25/x
3. Step 3: Cross multiply
   4,196.63x = 8,825.25 × 8,825.25
4. Step 4: Simplify right side
   4,196.63x = 77,885,037.56
5. Step 5: Solve for x
   x = 77,885,037.56/4,196.63
6. Step 6: Final answer
   x = 18,558.97