Finding the Third Proportional to 13,646 and 31,816

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646 : 31,816 = 31,816 : x
2. Step 2: Convert to fraction form
   13,646/31,816 = 31,816/x
3. Step 3: Cross multiply
   13,646x = 31,816 × 31,816
4. Step 4: Simplify right side
   13,646x = 1,012,257,856
5. Step 5: Solve for x
   x = 1,012,257,856/13,646
6. Step 6: Final answer
   x = 74,179.82