Finding the Third Proportional to 2,235.13 and 5,196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235.13 : 5,196.63 = 5,196.63 : x
2. Step 2: Convert to fraction form
   2,235.13/5,196.63 = 5,196.63/x
3. Step 3: Cross multiply
   2,235.13x = 5,196.63 × 5,196.63
4. Step 4: Simplify right side
   2,235.13x = 27,004,911.39
5. Step 5: Solve for x
   x = 27,004,911.39/2,235.13
6. Step 6: Final answer
   x = 12,082.06