Finding the Third Proportional to 10,014 and 23,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014 : 23,182 = 23,182 : x
2. Step 2: Convert to fraction form
   10,014/23,182 = 23,182/x
3. Step 3: Cross multiply
   10,014x = 23,182 × 23,182
4. Step 4: Simplify right side
   10,014x = 537,405,124
5. Step 5: Solve for x
   x = 537,405,124/10,014
6. Step 6: Final answer
   x = 53,665.38