Finding the Third Proportional to 10,538 and 23,141

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 23,141 = 23,141 : x
2. Step 2: Convert to fraction form
   10,538/23,141 = 23,141/x
3. Step 3: Cross multiply
   10,538x = 23,141 × 23,141
4. Step 4: Simplify right side
   10,538x = 535,505,881
5. Step 5: Solve for x
   x = 535,505,881/10,538
6. Step 6: Final answer
   x = 50,816.65