Finding the Third Proportional to 22,802 and 51,460

Step by Step Solution

1. Step 1: Write the proportion equation
   22,802 : 51,460 = 51,460 : x
2. Step 2: Convert to fraction form
   22,802/51,460 = 51,460/x
3. Step 3: Cross multiply
   22,802x = 51,460 × 51,460
4. Step 4: Simplify right side
   22,802x = 2,648,131,600
5. Step 5: Solve for x
   x = 2,648,131,600/22,802
6. Step 6: Final answer
   x = 116,135.94