Finding the Third Proportional to 55,185.75 and 82,947.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55,185.75 : 82,947.38 = 82,947.38 : x
2. Step 2: Convert to fraction form
   55,185.75/82,947.38 = 82,947.38/x
3. Step 3: Cross multiply
   55,185.75x = 82,947.38 × 82,947.38
4. Step 4: Simplify right side
   55,185.75x = 6,880,267,019.39
5. Step 5: Solve for x
   x = 6,880,267,019.39/55,185.75
6. Step 6: Final answer
   x = 124,674.70