Finding the Third Proportional to 10,142 and 23,563

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142 : 23,563 = 23,563 : x
2. Step 2: Convert to fraction form
   10,142/23,563 = 23,563/x
3. Step 3: Cross multiply
   10,142x = 23,563 × 23,563
4. Step 4: Simplify right side
   10,142x = 555,214,969
5. Step 5: Solve for x
   x = 555,214,969/10,142
6. Step 6: Final answer
   x = 54,744.13