Finding the Third Proportional to 469.41 and 1,096.59

Step by Step Solution

1. Step 1: Write the proportion equation
   469.41 : 1,096.59 = 1,096.59 : x
2. Step 2: Convert to fraction form
   469.41/1,096.59 = 1,096.59/x
3. Step 3: Cross multiply
   469.41x = 1,096.59 × 1,096.59
4. Step 4: Simplify right side
   469.41x = 1,202,517.85
5. Step 5: Solve for x
   x = 1,202,517.85/469.41
6. Step 6: Final answer
   x = 2,561.78