Finding the Third Proportional to 33,974.25 and 79,941.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974.25 : 79,941.75 = 79,941.75 : x
2. Step 2: Convert to fraction form
   33,974.25/79,941.75 = 79,941.75/x
3. Step 3: Cross multiply
   33,974.25x = 79,941.75 × 79,941.75
4. Step 4: Simplify right side
   33,974.25x = 6,390,683,393.06
5. Step 5: Solve for x
   x = 6,390,683,393.06/33,974.25
6. Step 6: Final answer
   x = 188,103.74