Finding the Third Proportional to 12,812 and 31,006

Step by Step Solution

1. Step 1: Write the proportion equation
   12,812 : 31,006 = 31,006 : x
2. Step 2: Convert to fraction form
   12,812/31,006 = 31,006/x
3. Step 3: Cross multiply
   12,812x = 31,006 × 31,006
4. Step 4: Simplify right side
   12,812x = 961,372,036
5. Step 5: Solve for x
   x = 961,372,036/12,812
6. Step 6: Final answer
   x = 75,036.84