Finding the Third Proportional to 21,538 and 45,634

Step by Step Solution

1. Step 1: Write the proportion equation
   21,538 : 45,634 = 45,634 : x
2. Step 2: Convert to fraction form
   21,538/45,634 = 45,634/x
3. Step 3: Cross multiply
   21,538x = 45,634 × 45,634
4. Step 4: Simplify right side
   21,538x = 2,082,461,956
5. Step 5: Solve for x
   x = 2,082,461,956/21,538
6. Step 6: Final answer
   x = 96,687.81