Finding the Third Proportional to 55,062 and 82,458

Step by Step Solution

1. Step 1: Write the proportion equation
   55,062 : 82,458 = 82,458 : x
2. Step 2: Convert to fraction form
   55,062/82,458 = 82,458/x
3. Step 3: Cross multiply
   55,062x = 82,458 × 82,458
4. Step 4: Simplify right side
   55,062x = 6,799,321,764
5. Step 5: Solve for x
   x = 6,799,321,764/55,062
6. Step 6: Final answer
   x = 123,484.83