Finding the Third Proportional to 8,025 and 10,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,025 : 10,537.50 = 10,537.50 : x
2. Step 2: Convert to fraction form
   8,025/10,537.50 = 10,537.50/x
3. Step 3: Cross multiply
   8,025x = 10,537.50 × 10,537.50
4. Step 4: Simplify right side
   8,025x = 111,038,906.25
5. Step 5: Solve for x
   x = 111,038,906.25/8,025
6. Step 6: Final answer
   x = 13,836.62