Finding the Third Proportional to 42,666 and 91,771

Step by Step Solution

1. Step 1: Write the proportion equation
   42,666 : 91,771 = 91,771 : x
2. Step 2: Convert to fraction form
   42,666/91,771 = 91,771/x
3. Step 3: Cross multiply
   42,666x = 91,771 × 91,771
4. Step 4: Simplify right side
   42,666x = 8,421,916,441
5. Step 5: Solve for x
   x = 8,421,916,441/42,666
6. Step 6: Final answer
   x = 197,391.75