Finding the Third Proportional to 7,065 and 10,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,065 : 10,688.50 = 10,688.50 : x
2. Step 2: Convert to fraction form
   7,065/10,688.50 = 10,688.50/x
3. Step 3: Cross multiply
   7,065x = 10,688.50 × 10,688.50
4. Step 4: Simplify right side
   7,065x = 114,244,032.25
5. Step 5: Solve for x
   x = 114,244,032.25/7,065
6. Step 6: Final answer
   x = 16,170.42