Finding the Third Proportional to 30,024 and 65,332

Step by Step Solution

1. Step 1: Write the proportion equation
   30,024 : 65,332 = 65,332 : x
2. Step 2: Convert to fraction form
   30,024/65,332 = 65,332/x
3. Step 3: Cross multiply
   30,024x = 65,332 × 65,332
4. Step 4: Simplify right side
   30,024x = 4,268,270,224
5. Step 5: Solve for x
   x = 4,268,270,224/30,024
6. Step 6: Final answer
   x = 142,161.94