Finding the Third Proportional to 7,812 and 10,014

Step by Step Solution

1. Step 1: Write the proportion equation
   7,812 : 10,014 = 10,014 : x
2. Step 2: Convert to fraction form
   7,812/10,014 = 10,014/x
3. Step 3: Cross multiply
   7,812x = 10,014 × 10,014
4. Step 4: Simplify right side
   7,812x = 100,280,196
5. Step 5: Solve for x
   x = 100,280,196/7,812
6. Step 6: Final answer
   x = 12,836.69