Finding the Third Proportional to 1,097.30 and 1,949.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.30 : 1,949.70 = 1,949.70 : x
2. Step 2: Convert to fraction form
   1,097.30/1,949.70 = 1,949.70/x
3. Step 3: Cross multiply
   1,097.30x = 1,949.70 × 1,949.70
4. Step 4: Simplify right side
   1,097.30x = 3,801,311.81
5. Step 5: Solve for x
   x = 3,801,311.81/1,097.30
6. Step 6: Final answer
   x = 3,464.25