Finding the Third Proportional to 63,852 and 102,004

Step by Step Solution

1. Step 1: Write the proportion equation
   63,852 : 102,004 = 102,004 : x
2. Step 2: Convert to fraction form
   63,852/102,004 = 102,004/x
3. Step 3: Cross multiply
   63,852x = 102,004 × 102,004
4. Step 4: Simplify right side
   63,852x = 10,404,816,016
5. Step 5: Solve for x
   x = 10,404,816,016/63,852
6. Step 6: Final answer
   x = 162,952.08