Finding the Third Proportional to 10,202 and 23,510

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202 : 23,510 = 23,510 : x
2. Step 2: Convert to fraction form
   10,202/23,510 = 23,510/x
3. Step 3: Cross multiply
   10,202x = 23,510 × 23,510
4. Step 4: Simplify right side
   10,202x = 552,720,100
5. Step 5: Solve for x
   x = 552,720,100/10,202
6. Step 6: Final answer
   x = 54,177.62