Finding the Third Proportional to 41,697 and 90,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,697 : 90,643.50 = 90,643.50 : x
2. Step 2: Convert to fraction form
   41,697/90,643.50 = 90,643.50/x
3. Step 3: Cross multiply
   41,697x = 90,643.50 × 90,643.50
4. Step 4: Simplify right side
   41,697x = 8,216,244,092.25
5. Step 5: Solve for x
   x = 8,216,244,092.25/41,697
6. Step 6: Final answer
   x = 197,046.41