Finding the Third Proportional to 3,549 and 5,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,549 : 5,767.50 = 5,767.50 : x
2. Step 2: Convert to fraction form
   3,549/5,767.50 = 5,767.50/x
3. Step 3: Cross multiply
   3,549x = 5,767.50 × 5,767.50
4. Step 4: Simplify right side
   3,549x = 33,264,056.25
5. Step 5: Solve for x
   x = 33,264,056.25/3,549
6. Step 6: Final answer
   x = 9,372.80