Finding the Third Proportional to 10,378 and 12,610

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 12,610 = 12,610 : x
2. Step 2: Convert to fraction form
   10,378/12,610 = 12,610/x
3. Step 3: Cross multiply
   10,378x = 12,610 × 12,610
4. Step 4: Simplify right side
   10,378x = 159,012,100
5. Step 5: Solve for x
   x = 159,012,100/10,378
6. Step 6: Final answer
   x = 15,322.04