Finding the Third Proportional to 7,586 and 10,456

Step by Step Solution

1. Step 1: Write the proportion equation
   7,586 : 10,456 = 10,456 : x
2. Step 2: Convert to fraction form
   7,586/10,456 = 10,456/x
3. Step 3: Cross multiply
   7,586x = 10,456 × 10,456
4. Step 4: Simplify right side
   7,586x = 109,327,936
5. Step 5: Solve for x
   x = 109,327,936/7,586
6. Step 6: Final answer
   x = 14,411.80