Finding the Third Proportional to 21,386 and 45,676

Step by Step Solution

1. Step 1: Write the proportion equation
   21,386 : 45,676 = 45,676 : x
2. Step 2: Convert to fraction form
   21,386/45,676 = 45,676/x
3. Step 3: Cross multiply
   21,386x = 45,676 × 45,676
4. Step 4: Simplify right side
   21,386x = 2,086,296,976
5. Step 5: Solve for x
   x = 2,086,296,976/21,386
6. Step 6: Final answer
   x = 97,554.33