Finding the Third Proportional to 8,065.50 and 10,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,065.50 : 10,837.50 = 10,837.50 : x
2. Step 2: Convert to fraction form
   8,065.50/10,837.50 = 10,837.50/x
3. Step 3: Cross multiply
   8,065.50x = 10,837.50 × 10,837.50
4. Step 4: Simplify right side
   8,065.50x = 117,451,406.25
5. Step 5: Solve for x
   x = 117,451,406.25/8,065.50
6. Step 6: Final answer
   x = 14,562.20