Finding the Third Proportional to 30,415 and 65,033

Step by Step Solution

1. Step 1: Write the proportion equation
   30,415 : 65,033 = 65,033 : x
2. Step 2: Convert to fraction form
   30,415/65,033 = 65,033/x
3. Step 3: Cross multiply
   30,415x = 65,033 × 65,033
4. Step 4: Simplify right side
   30,415x = 4,229,291,089
5. Step 5: Solve for x
   x = 4,229,291,089/30,415
6. Step 6: Final answer
   x = 139,052.81