Finding the Third Proportional to 451.50 and 692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   451.50 : 692.25 = 692.25 : x
2. Step 2: Convert to fraction form
   451.50/692.25 = 692.25/x
3. Step 3: Cross multiply
   451.50x = 692.25 × 692.25
4. Step 4: Simplify right side
   451.50x = 479,210.06
5. Step 5: Solve for x
   x = 479,210.06/451.50
6. Step 6: Final answer
   x = 1,061.37