Finding the Third Proportional to 2,097.56 and 2,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.56 : 2,782.69 = 2,782.69 : x
2. Step 2: Convert to fraction form
   2,097.56/2,782.69 = 2,782.69/x
3. Step 3: Cross multiply
   2,097.56x = 2,782.69 × 2,782.69
4. Step 4: Simplify right side
   2,097.56x = 7,743,349.72
5. Step 5: Solve for x
   x = 7,743,349.72/2,097.56
6. Step 6: Final answer
   x = 3,691.59