Finding the Third Proportional to 409.31 and 895.69

Step by Step Solution

1. Step 1: Write the proportion equation
   409.31 : 895.69 = 895.69 : x
2. Step 2: Convert to fraction form
   409.31/895.69 = 895.69/x
3. Step 3: Cross multiply
   409.31x = 895.69 × 895.69
4. Step 4: Simplify right side
   409.31x = 802,256.10
5. Step 5: Solve for x
   x = 802,256.10/409.31
6. Step 6: Final answer
   x = 1,960.01