Finding the Third Proportional to 1,196.02 and 2,614.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 2,614.15 = 2,614.15 : x
2. Step 2: Convert to fraction form
   1,196.02/2,614.15 = 2,614.15/x
3. Step 3: Cross multiply
   1,196.02x = 2,614.15 × 2,614.15
4. Step 4: Simplify right side
   1,196.02x = 6,833,772.05
5. Step 5: Solve for x
   x = 6,833,772.05/1,196.02
6. Step 6: Final answer
   x = 5,713.78