Finding the Third Proportional to 41,697 and 89,946

Step by Step Solution

1. Step 1: Write the proportion equation
   41,697 : 89,946 = 89,946 : x
2. Step 2: Convert to fraction form
   41,697/89,946 = 89,946/x
3. Step 3: Cross multiply
   41,697x = 89,946 × 89,946
4. Step 4: Simplify right side
   41,697x = 8,090,282,916
5. Step 5: Solve for x
   x = 8,090,282,916/41,697
6. Step 6: Final answer
   x = 194,025.54