Finding the Third Proportional to 1,099.13 and 1,546.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.13 : 1,546.31 = 1,546.31 : x
2. Step 2: Convert to fraction form
   1,099.13/1,546.31 = 1,546.31/x
3. Step 3: Cross multiply
   1,099.13x = 1,546.31 × 1,546.31
4. Step 4: Simplify right side
   1,099.13x = 2,391,082.35
5. Step 5: Solve for x
   x = 2,391,082.35/1,099.13
6. Step 6: Final answer
   x = 2,175.44