Finding the Third Proportional to 463.22 and 692.72

Step by Step Solution

1. Step 1: Write the proportion equation
   463.22 : 692.72 = 692.72 : x
2. Step 2: Convert to fraction form
   463.22/692.72 = 692.72/x
3. Step 3: Cross multiply
   463.22x = 692.72 × 692.72
4. Step 4: Simplify right side
   463.22x = 479,859.27
5. Step 5: Solve for x
   x = 479,859.27/463.22
6. Step 6: Final answer
   x = 1,035.92