Finding the Third Proportional to 1,185.38 and 2,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.38 : 2,546.25 = 2,546.25 : x
2. Step 2: Convert to fraction form
   1,185.38/2,546.25 = 2,546.25/x
3. Step 3: Cross multiply
   1,185.38x = 2,546.25 × 2,546.25
4. Step 4: Simplify right side
   1,185.38x = 6,483,389.06
5. Step 5: Solve for x
   x = 6,483,389.06/1,185.38
6. Step 6: Final answer
   x = 5,469.48