Finding the Third Proportional to 13,676 and 31,782

Step by Step Solution

1. Step 1: Write the proportion equation
   13,676 : 31,782 = 31,782 : x
2. Step 2: Convert to fraction form
   13,676/31,782 = 31,782/x
3. Step 3: Cross multiply
   13,676x = 31,782 × 31,782
4. Step 4: Simplify right side
   13,676x = 1,010,095,524
5. Step 5: Solve for x
   x = 1,010,095,524/13,676
6. Step 6: Final answer
   x = 73,858.99