Finding the Third Proportional to 7,869 and 10,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,869 : 10,552.50 = 10,552.50 : x
2. Step 2: Convert to fraction form
   7,869/10,552.50 = 10,552.50/x
3. Step 3: Cross multiply
   7,869x = 10,552.50 × 10,552.50
4. Step 4: Simplify right side
   7,869x = 111,355,256.25
5. Step 5: Solve for x
   x = 111,355,256.25/7,869
6. Step 6: Final answer
   x = 14,151.13