Finding the Third Proportional to 3,692.25 and 5,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.25 : 5,395.50 = 5,395.50 : x
2. Step 2: Convert to fraction form
   3,692.25/5,395.50 = 5,395.50/x
3. Step 3: Cross multiply
   3,692.25x = 5,395.50 × 5,395.50
4. Step 4: Simplify right side
   3,692.25x = 29,111,420.25
5. Step 5: Solve for x
   x = 29,111,420.25/3,692.25
6. Step 6: Final answer
   x = 7,884.47