Finding the Third Proportional to 22,922 and 50,164

Step by Step Solution

1. Step 1: Write the proportion equation
   22,922 : 50,164 = 50,164 : x
2. Step 2: Convert to fraction form
   22,922/50,164 = 50,164/x
3. Step 3: Cross multiply
   22,922x = 50,164 × 50,164
4. Step 4: Simplify right side
   22,922x = 2,516,426,896
5. Step 5: Solve for x
   x = 2,516,426,896/22,922
6. Step 6: Final answer
   x = 109,782.17