Finding the Third Proportional to 30,201 and 65,051

Step by Step Solution

1. Step 1: Write the proportion equation
   30,201 : 65,051 = 65,051 : x
2. Step 2: Convert to fraction form
   30,201/65,051 = 65,051/x
3. Step 3: Cross multiply
   30,201x = 65,051 × 65,051
4. Step 4: Simplify right side
   30,201x = 4,231,632,601
5. Step 5: Solve for x
   x = 4,231,632,601/30,201
6. Step 6: Final answer
   x = 140,115.65