Finding the Third Proportional to 10,610 and 11,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610 : 11,582 = 11,582 : x
2. Step 2: Convert to fraction form
   10,610/11,582 = 11,582/x
3. Step 3: Cross multiply
   10,610x = 11,582 × 11,582
4. Step 4: Simplify right side
   10,610x = 134,142,724
5. Step 5: Solve for x
   x = 134,142,724/10,610
6. Step 6: Final answer
   x = 12,643.05