Finding the Third Proportional to 561.88 and 897.69

Step by Step Solution

1. Step 1: Write the proportion equation
   561.88 : 897.69 = 897.69 : x
2. Step 2: Convert to fraction form
   561.88/897.69 = 897.69/x
3. Step 3: Cross multiply
   561.88x = 897.69 × 897.69
4. Step 4: Simplify right side
   561.88x = 805,842.85
5. Step 5: Solve for x
   x = 805,842.85/561.88
6. Step 6: Final answer
   x = 1,434.20