Finding the Third Proportional to 30,326 and 65,832

Step by Step Solution

1. Step 1: Write the proportion equation
   30,326 : 65,832 = 65,832 : x
2. Step 2: Convert to fraction form
   30,326/65,832 = 65,832/x
3. Step 3: Cross multiply
   30,326x = 65,832 × 65,832
4. Step 4: Simplify right side
   30,326x = 4,333,852,224
5. Step 5: Solve for x
   x = 4,333,852,224/30,326
6. Step 6: Final answer
   x = 142,908.80