Finding the Third Proportional to 21,536 and 45,682

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 45,682 = 45,682 : x
2. Step 2: Convert to fraction form
   21,536/45,682 = 45,682/x
3. Step 3: Cross multiply
   21,536x = 45,682 × 45,682
4. Step 4: Simplify right side
   21,536x = 2,086,845,124
5. Step 5: Solve for x
   x = 2,086,845,124/21,536
6. Step 6: Final answer
   x = 96,900.31