Finding the Third Proportional to 56,408 and 82,666

Step by Step Solution

1. Step 1: Write the proportion equation
   56,408 : 82,666 = 82,666 : x
2. Step 2: Convert to fraction form
   56,408/82,666 = 82,666/x
3. Step 3: Cross multiply
   56,408x = 82,666 × 82,666
4. Step 4: Simplify right side
   56,408x = 6,833,667,556
5. Step 5: Solve for x
   x = 6,833,667,556/56,408
6. Step 6: Final answer
   x = 121,147.13