Finding the Third Proportional to 23,219 and 50,641

Step by Step Solution

1. Step 1: Write the proportion equation
   23,219 : 50,641 = 50,641 : x
2. Step 2: Convert to fraction form
   23,219/50,641 = 50,641/x
3. Step 3: Cross multiply
   23,219x = 50,641 × 50,641
4. Step 4: Simplify right side
   23,219x = 2,564,510,881
5. Step 5: Solve for x
   x = 2,564,510,881/23,219
6. Step 6: Final answer
   x = 110,448.81