Finding the Third Proportional to 30,026 and 65,336

Step by Step Solution

1. Step 1: Write the proportion equation
   30,026 : 65,336 = 65,336 : x
2. Step 2: Convert to fraction form
   30,026/65,336 = 65,336/x
3. Step 3: Cross multiply
   30,026x = 65,336 × 65,336
4. Step 4: Simplify right side
   30,026x = 4,268,792,896
5. Step 5: Solve for x
   x = 4,268,792,896/30,026
6. Step 6: Final answer
   x = 142,169.88