Finding the Third Proportional to 41,838.75 and 91,942.88

Step by Step Solution

1. Step 1: Write the proportion equation
   41,838.75 : 91,942.88 = 91,942.88 : x
2. Step 2: Convert to fraction form
   41,838.75/91,942.88 = 91,942.88/x
3. Step 3: Cross multiply
   41,838.75x = 91,942.88 × 91,942.88
4. Step 4: Simplify right side
   41,838.75x = 8,453,492,263.27
5. Step 5: Solve for x
   x = 8,453,492,263.27/41,838.75
6. Step 6: Final answer
   x = 202,049.35