Finding the Third Proportional to 10,534 and 23,012

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534 : 23,012 = 23,012 : x
2. Step 2: Convert to fraction form
   10,534/23,012 = 23,012/x
3. Step 3: Cross multiply
   10,534x = 23,012 × 23,012
4. Step 4: Simplify right side
   10,534x = 529,552,144
5. Step 5: Solve for x
   x = 529,552,144/10,534
6. Step 6: Final answer
   x = 50,270.76