Finding the Third Proportional to 30,834 and 63,856

Step by Step Solution

1. Step 1: Write the proportion equation
   30,834 : 63,856 = 63,856 : x
2. Step 2: Convert to fraction form
   30,834/63,856 = 63,856/x
3. Step 3: Cross multiply
   30,834x = 63,856 × 63,856
4. Step 4: Simplify right side
   30,834x = 4,077,588,736
5. Step 5: Solve for x
   x = 4,077,588,736/30,834
6. Step 6: Final answer
   x = 132,243.26