Finding the Third Proportional to 33,984 and 79,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 79,958.25 = 79,958.25 : x
2. Step 2: Convert to fraction form
   33,984/79,958.25 = 79,958.25/x
3. Step 3: Cross multiply
   33,984x = 79,958.25 × 79,958.25
4. Step 4: Simplify right side
   33,984x = 6,393,321,743.06
5. Step 5: Solve for x
   x = 6,393,321,743.06/33,984
6. Step 6: Final answer
   x = 188,127.41