Finding the Third Proportional to 7,878.50 and 10,512

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878.50 : 10,512 = 10,512 : x
2. Step 2: Convert to fraction form
   7,878.50/10,512 = 10,512/x
3. Step 3: Cross multiply
   7,878.50x = 10,512 × 10,512
4. Step 4: Simplify right side
   7,878.50x = 110,502,144
5. Step 5: Solve for x
   x = 110,502,144/7,878.50
6. Step 6: Final answer
   x = 14,025.78