Finding the Third Proportional to 692.50 and 1,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   692.50 : 1,419.25 = 1,419.25 : x
2. Step 2: Convert to fraction form
   692.50/1,419.25 = 1,419.25/x
3. Step 3: Cross multiply
   692.50x = 1,419.25 × 1,419.25
4. Step 4: Simplify right side
   692.50x = 2,014,270.56
5. Step 5: Solve for x
   x = 2,014,270.56/692.50
6. Step 6: Final answer
   x = 2,908.69