Finding the Third Proportional to 1,097.72 and 1,972.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.72 : 1,972.69 = 1,972.69 : x
2. Step 2: Convert to fraction form
   1,097.72/1,972.69 = 1,972.69/x
3. Step 3: Cross multiply
   1,097.72x = 1,972.69 × 1,972.69
4. Step 4: Simplify right side
   1,097.72x = 3,891,495.97
5. Step 5: Solve for x
   x = 3,891,495.97/1,097.72
6. Step 6: Final answer
   x = 3,545.08