Finding the Third Proportional to 3,538.69 and 7,692.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 7,692.47 = 7,692.47 : x
2. Step 2: Convert to fraction form
   3,538.69/7,692.47 = 7,692.47/x
3. Step 3: Cross multiply
   3,538.69x = 7,692.47 × 7,692.47
4. Step 4: Simplify right side
   3,538.69x = 59,174,075.47
5. Step 5: Solve for x
   x = 59,174,075.47/3,538.69
6. Step 6: Final answer
   x = 16,722.04