Finding the Third Proportional to 16,191 and 35,231

Step by Step Solution

1. Step 1: Write the proportion equation
   16,191 : 35,231 = 35,231 : x
2. Step 2: Convert to fraction form
   16,191/35,231 = 35,231/x
3. Step 3: Cross multiply
   16,191x = 35,231 × 35,231
4. Step 4: Simplify right side
   16,191x = 1,241,223,361
5. Step 5: Solve for x
   x = 1,241,223,361/16,191
6. Step 6: Final answer
   x = 76,661.32