Finding the Third Proportional to 42,021 and 91,494

Step by Step Solution

1. Step 1: Write the proportion equation
   42,021 : 91,494 = 91,494 : x
2. Step 2: Convert to fraction form
   42,021/91,494 = 91,494/x
3. Step 3: Cross multiply
   42,021x = 91,494 × 91,494
4. Step 4: Simplify right side
   42,021x = 8,371,152,036
5. Step 5: Solve for x
   x = 8,371,152,036/42,021
6. Step 6: Final answer
   x = 199,213.54