Finding the Third Proportional to 41,706.84 and 89,974.41

Step by Step Solution

1. Step 1: Write the proportion equation
   41,706.84 : 89,974.41 = 89,974.41 : x
2. Step 2: Convert to fraction form
   41,706.84/89,974.41 = 89,974.41/x
3. Step 3: Cross multiply
   41,706.84x = 89,974.41 × 89,974.41
4. Step 4: Simplify right side
   41,706.84x = 8,095,393,780.04
5. Step 5: Solve for x
   x = 8,095,393,780.04/41,706.84
6. Step 6: Final answer
   x = 194,102.29