Finding the Third Proportional to 14,896 and 31,322

Step by Step Solution

1. Step 1: Write the proportion equation
   14,896 : 31,322 = 31,322 : x
2. Step 2: Convert to fraction form
   14,896/31,322 = 31,322/x
3. Step 3: Cross multiply
   14,896x = 31,322 × 31,322
4. Step 4: Simplify right side
   14,896x = 981,067,684
5. Step 5: Solve for x
   x = 981,067,684/14,896
6. Step 6: Final answer
   x = 65,861.15