Finding the Third Proportional to 692.50 and 1,065

Step by Step Solution

1. Step 1: Write the proportion equation
   692.50 : 1,065 = 1,065 : x
2. Step 2: Convert to fraction form
   692.50/1,065 = 1,065/x
3. Step 3: Cross multiply
   692.50x = 1,065 × 1,065
4. Step 4: Simplify right side
   692.50x = 1,134,225
5. Step 5: Solve for x
   x = 1,134,225/692.50
6. Step 6: Final answer
   x = 1,637.87