Finding the Third Proportional to 3,577.50 and 7,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 7,667.25 = 7,667.25 : x
2. Step 2: Convert to fraction form
   3,577.50/7,667.25 = 7,667.25/x
3. Step 3: Cross multiply
   3,577.50x = 7,667.25 × 7,667.25
4. Step 4: Simplify right side
   3,577.50x = 58,786,722.56
5. Step 5: Solve for x
   x = 58,786,722.56/3,577.50
6. Step 6: Final answer
   x = 16,432.35