Finding the Third Proportional to 14,116 and 31,573

Step by Step Solution

1. Step 1: Write the proportion equation
   14,116 : 31,573 = 31,573 : x
2. Step 2: Convert to fraction form
   14,116/31,573 = 31,573/x
3. Step 3: Cross multiply
   14,116x = 31,573 × 31,573
4. Step 4: Simplify right side
   14,116x = 996,854,329
5. Step 5: Solve for x
   x = 996,854,329/14,116
6. Step 6: Final answer
   x = 70,618.75