Finding the Third Proportional to 37,736 and 85,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,736 : 85,204 = 85,204 : x
2. Step 2: Convert to fraction form
   37,736/85,204 = 85,204/x
3. Step 3: Cross multiply
   37,736x = 85,204 × 85,204
4. Step 4: Simplify right side
   37,736x = 7,259,721,616
5. Step 5: Solve for x
   x = 7,259,721,616/37,736
6. Step 6: Final answer
   x = 192,381.85