Finding the Third Proportional to 42,661 and 91,640

Step by Step Solution

1. Step 1: Write the proportion equation
   42,661 : 91,640 = 91,640 : x
2. Step 2: Convert to fraction form
   42,661/91,640 = 91,640/x
3. Step 3: Cross multiply
   42,661x = 91,640 × 91,640
4. Step 4: Simplify right side
   42,661x = 8,397,889,600
5. Step 5: Solve for x
   x = 8,397,889,600/42,661
6. Step 6: Final answer
   x = 196,851.68