Finding the Third Proportional to 41,839.50 and 91,972

Step by Step Solution

1. Step 1: Write the proportion equation
   41,839.50 : 91,972 = 91,972 : x
2. Step 2: Convert to fraction form
   41,839.50/91,972 = 91,972/x
3. Step 3: Cross multiply
   41,839.50x = 91,972 × 91,972
4. Step 4: Simplify right side
   41,839.50x = 8,458,848,784
5. Step 5: Solve for x
   x = 8,458,848,784/41,839.50
6. Step 6: Final answer
   x = 202,173.75