Finding the Third Proportional to 21,514 and 31,566

Step by Step Solution

1. Step 1: Write the proportion equation
   21,514 : 31,566 = 31,566 : x
2. Step 2: Convert to fraction form
   21,514/31,566 = 31,566/x
3. Step 3: Cross multiply
   21,514x = 31,566 × 31,566
4. Step 4: Simplify right side
   21,514x = 996,412,356
5. Step 5: Solve for x
   x = 996,412,356/21,514
6. Step 6: Final answer
   x = 46,314.60