Finding the Third Proportional to 21,385 and 45,538

Step by Step Solution

1. Step 1: Write the proportion equation
   21,385 : 45,538 = 45,538 : x
2. Step 2: Convert to fraction form
   21,385/45,538 = 45,538/x
3. Step 3: Cross multiply
   21,385x = 45,538 × 45,538
4. Step 4: Simplify right side
   21,385x = 2,073,709,444
5. Step 5: Solve for x
   x = 2,073,709,444/21,385
6. Step 6: Final answer
   x = 96,970.28