Finding the Third Proportional to 10,592 and 12,512

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 12,512 = 12,512 : x
2. Step 2: Convert to fraction form
   10,592/12,512 = 12,512/x
3. Step 3: Cross multiply
   10,592x = 12,512 × 12,512
4. Step 4: Simplify right side
   10,592x = 156,550,144
5. Step 5: Solve for x
   x = 156,550,144/10,592
6. Step 6: Final answer
   x = 14,780.04