Finding the Third Proportional to 2,196.56 and 3,146.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.56 : 3,146.06 = 3,146.06 : x
2. Step 2: Convert to fraction form
   2,196.56/3,146.06 = 3,146.06/x
3. Step 3: Cross multiply
   2,196.56x = 3,146.06 × 3,146.06
4. Step 4: Simplify right side
   2,196.56x = 9,897,709.25
5. Step 5: Solve for x
   x = 9,897,709.25/2,196.56
6. Step 6: Final answer
   x = 4,506.00