Finding the Third Proportional to 55,284.75 and 82,983.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55,284.75 : 82,983.38 = 82,983.38 : x
2. Step 2: Convert to fraction form
   55,284.75/82,983.38 = 82,983.38/x
3. Step 3: Cross multiply
   55,284.75x = 82,983.38 × 82,983.38
4. Step 4: Simplify right side
   55,284.75x = 6,886,240,526.39
5. Step 5: Solve for x
   x = 6,886,240,526.39/55,284.75
6. Step 6: Final answer
   x = 124,559.49