Finding the Third Proportional to 625.50 and 692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   625.50 : 692.50 = 692.50 : x
2. Step 2: Convert to fraction form
   625.50/692.50 = 692.50/x
3. Step 3: Cross multiply
   625.50x = 692.50 × 692.50
4. Step 4: Simplify right side
   625.50x = 479,556.25
5. Step 5: Solve for x
   x = 479,556.25/625.50
6. Step 6: Final answer
   x = 766.68