Finding the Third Proportional to 22,862 and 34,538

Step by Step Solution

1. Step 1: Write the proportion equation
   22,862 : 34,538 = 34,538 : x
2. Step 2: Convert to fraction form
   22,862/34,538 = 34,538/x
3. Step 3: Cross multiply
   22,862x = 34,538 × 34,538
4. Step 4: Simplify right side
   22,862x = 1,192,873,444
5. Step 5: Solve for x
   x = 1,192,873,444/22,862
6. Step 6: Final answer
   x = 52,177.13