Finding the Third Proportional to 15,834 and 33,786

Step by Step Solution

1. Step 1: Write the proportion equation
   15,834 : 33,786 = 33,786 : x
2. Step 2: Convert to fraction form
   15,834/33,786 = 33,786/x
3. Step 3: Cross multiply
   15,834x = 33,786 × 33,786
4. Step 4: Simplify right side
   15,834x = 1,141,493,796
5. Step 5: Solve for x
   x = 1,141,493,796/15,834
6. Step 6: Final answer
   x = 72,091.31