Finding the Third Proportional to 10,578 and 23,038

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 23,038 = 23,038 : x
2. Step 2: Convert to fraction form
   10,578/23,038 = 23,038/x
3. Step 3: Cross multiply
   10,578x = 23,038 × 23,038
4. Step 4: Simplify right side
   10,578x = 530,749,444
5. Step 5: Solve for x
   x = 530,749,444/10,578
6. Step 6: Final answer
   x = 50,174.84