Finding the Third Proportional to 21,078 and 31,329

Step by Step Solution

1. Step 1: Write the proportion equation
   21,078 : 31,329 = 31,329 : x
2. Step 2: Convert to fraction form
   21,078/31,329 = 31,329/x
3. Step 3: Cross multiply
   21,078x = 31,329 × 31,329
4. Step 4: Simplify right side
   21,078x = 981,506,241
5. Step 5: Solve for x
   x = 981,506,241/21,078
6. Step 6: Final answer
   x = 46,565.44