Finding the Third Proportional to 55,408 and 82,890

Step by Step Solution

1. Step 1: Write the proportion equation
   55,408 : 82,890 = 82,890 : x
2. Step 2: Convert to fraction form
   55,408/82,890 = 82,890/x
3. Step 3: Cross multiply
   55,408x = 82,890 × 82,890
4. Step 4: Simplify right side
   55,408x = 6,870,752,100
5. Step 5: Solve for x
   x = 6,870,752,100/55,408
6. Step 6: Final answer
   x = 124,002.89