Finding the Third Proportional to 53,096 and 82,870

Step by Step Solution

1. Step 1: Write the proportion equation
   53,096 : 82,870 = 82,870 : x
2. Step 2: Convert to fraction form
   53,096/82,870 = 82,870/x
3. Step 3: Cross multiply
   53,096x = 82,870 × 82,870
4. Step 4: Simplify right side
   53,096x = 6,867,436,900
5. Step 5: Solve for x
   x = 6,867,436,900/53,096
6. Step 6: Final answer
   x = 129,340.00