Finding the Third Proportional to 8,535 and 10,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,535 : 10,678.50 = 10,678.50 : x
2. Step 2: Convert to fraction form
   8,535/10,678.50 = 10,678.50/x
3. Step 3: Cross multiply
   8,535x = 10,678.50 × 10,678.50
4. Step 4: Simplify right side
   8,535x = 114,030,362.25
5. Step 5: Solve for x
   x = 114,030,362.25/8,535
6. Step 6: Final answer
   x = 13,360.32