Finding the Third Proportional to 3,692.94 and 5,526.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.94 : 5,526.35 = 5,526.35 : x
2. Step 2: Convert to fraction form
   3,692.94/5,526.35 = 5,526.35/x
3. Step 3: Cross multiply
   3,692.94x = 5,526.35 × 5,526.35
4. Step 4: Simplify right side
   3,692.94x = 30,540,561.59
5. Step 5: Solve for x
   x = 30,540,561.59/3,692.94
6. Step 6: Final answer
   x = 8,270.00