Finding the Third Proportional to 21,731 and 45,797

Step by Step Solution

1. Step 1: Write the proportion equation
   21,731 : 45,797 = 45,797 : x
2. Step 2: Convert to fraction form
   21,731/45,797 = 45,797/x
3. Step 3: Cross multiply
   21,731x = 45,797 × 45,797
4. Step 4: Simplify right side
   21,731x = 2,097,365,209
5. Step 5: Solve for x
   x = 2,097,365,209/21,731
6. Step 6: Final answer
   x = 96,514.90