Finding the Third Proportional to 8,971.50 and 10,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,971.50 : 10,591.50 = 10,591.50 : x
2. Step 2: Convert to fraction form
   8,971.50/10,591.50 = 10,591.50/x
3. Step 3: Cross multiply
   8,971.50x = 10,591.50 × 10,591.50
4. Step 4: Simplify right side
   8,971.50x = 112,179,872.25
5. Step 5: Solve for x
   x = 112,179,872.25/8,971.50
6. Step 6: Final answer
   x = 12,504.03