Finding the Third Proportional to 692.93 and 1,429.52

Step by Step Solution

1. Step 1: Write the proportion equation
   692.93 : 1,429.52 = 1,429.52 : x
2. Step 2: Convert to fraction form
   692.93/1,429.52 = 1,429.52/x
3. Step 3: Cross multiply
   692.93x = 1,429.52 × 1,429.52
4. Step 4: Simplify right side
   692.93x = 2,043,537.26
5. Step 5: Solve for x
   x = 2,043,537.26/692.93
6. Step 6: Final answer
   x = 2,949.13