Finding the Third Proportional to 42,333 and 91,965

Step by Step Solution

1. Step 1: Write the proportion equation
   42,333 : 91,965 = 91,965 : x
2. Step 2: Convert to fraction form
   42,333/91,965 = 91,965/x
3. Step 3: Cross multiply
   42,333x = 91,965 × 91,965
4. Step 4: Simplify right side
   42,333x = 8,457,561,225
5. Step 5: Solve for x
   x = 8,457,561,225/42,333
6. Step 6: Final answer
   x = 199,786.48