Finding the Third Proportional to 41,702.75 and 91,706.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,702.75 : 91,706.25 = 91,706.25 : x
2. Step 2: Convert to fraction form
   41,702.75/91,706.25 = 91,706.25/x
3. Step 3: Cross multiply
   41,702.75x = 91,706.25 × 91,706.25
4. Step 4: Simplify right side
   41,702.75x = 8,410,036,289.06
5. Step 5: Solve for x
   x = 8,410,036,289.06/41,702.75
6. Step 6: Final answer
   x = 201,666.23