Finding the Third Proportional to 1,097.75 and 2,346.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.75 : 2,346.25 = 2,346.25 : x
2. Step 2: Convert to fraction form
   1,097.75/2,346.25 = 2,346.25/x
3. Step 3: Cross multiply
   1,097.75x = 2,346.25 × 2,346.25
4. Step 4: Simplify right side
   1,097.75x = 5,504,889.06
5. Step 5: Solve for x
   x = 5,504,889.06/1,097.75
6. Step 6: Final answer
   x = 5,014.70