Finding the Third Proportional to 3,684.50 and 5,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.50 : 5,931.50 = 5,931.50 : x
2. Step 2: Convert to fraction form
   3,684.50/5,931.50 = 5,931.50/x
3. Step 3: Cross multiply
   3,684.50x = 5,931.50 × 5,931.50
4. Step 4: Simplify right side
   3,684.50x = 35,182,692.25
5. Step 5: Solve for x
   x = 35,182,692.25/3,684.50
6. Step 6: Final answer
   x = 9,548.84