Finding the Third Proportional to 1,198.69 and 2,602.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.69 : 2,602.13 = 2,602.13 : x
2. Step 2: Convert to fraction form
   1,198.69/2,602.13 = 2,602.13/x
3. Step 3: Cross multiply
   1,198.69x = 2,602.13 × 2,602.13
4. Step 4: Simplify right side
   1,198.69x = 6,771,054.52
5. Step 5: Solve for x
   x = 6,771,054.52/1,198.69
6. Step 6: Final answer
   x = 5,648.72