Finding the Third Proportional to 5,667.50 and 9,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.50 : 9,366.50 = 9,366.50 : x
2. Step 2: Convert to fraction form
   5,667.50/9,366.50 = 9,366.50/x
3. Step 3: Cross multiply
   5,667.50x = 9,366.50 × 9,366.50
4. Step 4: Simplify right side
   5,667.50x = 87,731,322.25
5. Step 5: Solve for x
   x = 87,731,322.25/5,667.50
6. Step 6: Final answer
   x = 15,479.72