Finding the Third Proportional to 1,146.25 and 1,620.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.25 : 1,620.38 = 1,620.38 : x
2. Step 2: Convert to fraction form
   1,146.25/1,620.38 = 1,620.38/x
3. Step 3: Cross multiply
   1,146.25x = 1,620.38 × 1,620.38
4. Step 4: Simplify right side
   1,146.25x = 2,625,615.14
5. Step 5: Solve for x
   x = 2,625,615.14/1,146.25
6. Step 6: Final answer
   x = 2,290.61