Finding the Third Proportional to 1,097.30 and 1,598.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.30 : 1,598.48 = 1,598.48 : x
2. Step 2: Convert to fraction form
   1,097.30/1,598.48 = 1,598.48/x
3. Step 3: Cross multiply
   1,097.30x = 1,598.48 × 1,598.48
4. Step 4: Simplify right side
   1,097.30x = 2,555,152.30
5. Step 5: Solve for x
   x = 2,555,152.30/1,097.30
6. Step 6: Final answer
   x = 2,328.59