Finding the Third Proportional to 30,984 and 65,844

Step by Step Solution

1. Step 1: Write the proportion equation
   30,984 : 65,844 = 65,844 : x
2. Step 2: Convert to fraction form
   30,984/65,844 = 65,844/x
3. Step 3: Cross multiply
   30,984x = 65,844 × 65,844
4. Step 4: Simplify right side
   30,984x = 4,335,432,336
5. Step 5: Solve for x
   x = 4,335,432,336/30,984
6. Step 6: Final answer
   x = 139,924.88