Finding the Third Proportional to 53,856 and 82,672

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 82,672 = 82,672 : x
2. Step 2: Convert to fraction form
   53,856/82,672 = 82,672/x
3. Step 3: Cross multiply
   53,856x = 82,672 × 82,672
4. Step 4: Simplify right side
   53,856x = 6,834,659,584
5. Step 5: Solve for x
   x = 6,834,659,584/53,856
6. Step 6: Final answer
   x = 126,906.19