Finding the Third Proportional to 22,802 and 34,111

Step by Step Solution

1. Step 1: Write the proportion equation
   22,802 : 34,111 = 34,111 : x
2. Step 2: Convert to fraction form
   22,802/34,111 = 34,111/x
3. Step 3: Cross multiply
   22,802x = 34,111 × 34,111
4. Step 4: Simplify right side
   22,802x = 1,163,560,321
5. Step 5: Solve for x
   x = 1,163,560,321/22,802
6. Step 6: Final answer
   x = 51,028.87