Finding the Third Proportional to 33,230.25 and 71,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,230.25 : 71,678.25 = 71,678.25 : x
2. Step 2: Convert to fraction form
   33,230.25/71,678.25 = 71,678.25/x
3. Step 3: Cross multiply
   33,230.25x = 71,678.25 × 71,678.25
4. Step 4: Simplify right side
   33,230.25x = 5,137,771,523.06
5. Step 5: Solve for x
   x = 5,137,771,523.06/33,230.25
6. Step 6: Final answer
   x = 154,611.28