Finding the Third Proportional to 41,006.25 and 89,393.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,006.25 : 89,393.63 = 89,393.63 : x
2. Step 2: Convert to fraction form
   41,006.25/89,393.63 = 89,393.63/x
3. Step 3: Cross multiply
   41,006.25x = 89,393.63 × 89,393.63
4. Step 4: Simplify right side
   41,006.25x = 7,991,220,190.64
5. Step 5: Solve for x
   x = 7,991,220,190.64/41,006.25
6. Step 6: Final answer
   x = 194,878.10