Finding the Third Proportional to 23,194 and 50,738

Step by Step Solution

1. Step 1: Write the proportion equation
   23,194 : 50,738 = 50,738 : x
2. Step 2: Convert to fraction form
   23,194/50,738 = 50,738/x
3. Step 3: Cross multiply
   23,194x = 50,738 × 50,738
4. Step 4: Simplify right side
   23,194x = 2,574,344,644
5. Step 5: Solve for x
   x = 2,574,344,644/23,194
6. Step 6: Final answer
   x = 110,991.84