Finding the Third Proportional to 53,854 and 82,662

Step by Step Solution

1. Step 1: Write the proportion equation
   53,854 : 82,662 = 82,662 : x
2. Step 2: Convert to fraction form
   53,854/82,662 = 82,662/x
3. Step 3: Cross multiply
   53,854x = 82,662 × 82,662
4. Step 4: Simplify right side
   53,854x = 6,833,006,244
5. Step 5: Solve for x
   x = 6,833,006,244/53,854
6. Step 6: Final answer
   x = 126,880.20