Finding the Third Proportional to 16,191 and 34,866

Step by Step Solution

1. Step 1: Write the proportion equation
   16,191 : 34,866 = 34,866 : x
2. Step 2: Convert to fraction form
   16,191/34,866 = 34,866/x
3. Step 3: Cross multiply
   16,191x = 34,866 × 34,866
4. Step 4: Simplify right side
   16,191x = 1,215,637,956
5. Step 5: Solve for x
   x = 1,215,637,956/16,191
6. Step 6: Final answer
   x = 75,081.09