Finding the Third Proportional to 55,413 and 82,674

Step by Step Solution

1. Step 1: Write the proportion equation
   55,413 : 82,674 = 82,674 : x
2. Step 2: Convert to fraction form
   55,413/82,674 = 82,674/x
3. Step 3: Cross multiply
   55,413x = 82,674 × 82,674
4. Step 4: Simplify right side
   55,413x = 6,834,990,276
5. Step 5: Solve for x
   x = 6,834,990,276/55,413
6. Step 6: Final answer
   x = 123,346.33