Finding the Third Proportional to 3,577.50 and 5,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 5,856.75 = 5,856.75 : x
2. Step 2: Convert to fraction form
   3,577.50/5,856.75 = 5,856.75/x
3. Step 3: Cross multiply
   3,577.50x = 5,856.75 × 5,856.75
4. Step 4: Simplify right side
   3,577.50x = 34,301,520.56
5. Step 5: Solve for x
   x = 34,301,520.56/3,577.50
6. Step 6: Final answer
   x = 9,588.13