Finding the Third Proportional to 1,097.24 and 2,365.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.24 : 2,365.87 = 2,365.87 : x
2. Step 2: Convert to fraction form
   1,097.24/2,365.87 = 2,365.87/x
3. Step 3: Cross multiply
   1,097.24x = 2,365.87 × 2,365.87
4. Step 4: Simplify right side
   1,097.24x = 5,597,333.32
5. Step 5: Solve for x
   x = 5,597,333.32/1,097.24
6. Step 6: Final answer
   x = 5,101.30