Finding the Third Proportional to 10,064 and 23,723

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064 : 23,723 = 23,723 : x
2. Step 2: Convert to fraction form
   10,064/23,723 = 23,723/x
3. Step 3: Cross multiply
   10,064x = 23,723 × 23,723
4. Step 4: Simplify right side
   10,064x = 562,780,729
5. Step 5: Solve for x
   x = 562,780,729/10,064
6. Step 6: Final answer
   x = 55,920.18