Finding the Third Proportional to 65,005 and 103,147

Step by Step Solution

1. Step 1: Write the proportion equation
   65,005 : 103,147 = 103,147 : x
2. Step 2: Convert to fraction form
   65,005/103,147 = 103,147/x
3. Step 3: Cross multiply
   65,005x = 103,147 × 103,147
4. Step 4: Simplify right side
   65,005x = 10,639,303,609
5. Step 5: Solve for x
   x = 10,639,303,609/65,005
6. Step 6: Final answer
   x = 163,669.00