Finding the Third Proportional to 21,538 and 45,686

Step by Step Solution

1. Step 1: Write the proportion equation
   21,538 : 45,686 = 45,686 : x
2. Step 2: Convert to fraction form
   21,538/45,686 = 45,686/x
3. Step 3: Cross multiply
   21,538x = 45,686 × 45,686
4. Step 4: Simplify right side
   21,538x = 2,087,210,596
5. Step 5: Solve for x
   x = 2,087,210,596/21,538
6. Step 6: Final answer
   x = 96,908.28