Finding the Third Proportional to 1,097.44 and 2,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.44 : 2,546.72 = 2,546.72 : x
2. Step 2: Convert to fraction form
   1,097.44/2,546.72 = 2,546.72/x
3. Step 3: Cross multiply
   1,097.44x = 2,546.72 × 2,546.72
4. Step 4: Simplify right side
   1,097.44x = 6,485,776.39
5. Step 5: Solve for x
   x = 6,485,776.39/1,097.44
6. Step 6: Final answer
   x = 5,909.93