Finding the Third Proportional to 41,127.75 and 92,894.34

Step by Step Solution

1. Step 1: Write the proportion equation
   41,127.75 : 92,894.34 = 92,894.34 : x
2. Step 2: Convert to fraction form
   41,127.75/92,894.34 = 92,894.34/x
3. Step 3: Cross multiply
   41,127.75x = 92,894.34 × 92,894.34
4. Step 4: Simplify right side
   41,127.75x = 8,629,359,100.74
5. Step 5: Solve for x
   x = 8,629,359,100.74/41,127.75
6. Step 6: Final answer
   x = 209,818.41