Finding the Third Proportional to 30,686 and 65,052

Step by Step Solution

1. Step 1: Write the proportion equation
   30,686 : 65,052 = 65,052 : x
2. Step 2: Convert to fraction form
   30,686/65,052 = 65,052/x
3. Step 3: Cross multiply
   30,686x = 65,052 × 65,052
4. Step 4: Simplify right side
   30,686x = 4,231,762,704
5. Step 5: Solve for x
   x = 4,231,762,704/30,686
6. Step 6: Final answer
   x = 137,905.32