Finding the Third Proportional to 1,692.56 and 3,569.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692.56 : 3,569.91 = 3,569.91 : x
2. Step 2: Convert to fraction form
   1,692.56/3,569.91 = 3,569.91/x
3. Step 3: Cross multiply
   1,692.56x = 3,569.91 × 3,569.91
4. Step 4: Simplify right side
   1,692.56x = 12,744,230.63
5. Step 5: Solve for x
   x = 12,744,230.63/1,692.56
6. Step 6: Final answer
   x = 7,529.55