Finding the Third Proportional to 55,536 and 86,019

Step by Step Solution

1. Step 1: Write the proportion equation
   55,536 : 86,019 = 86,019 : x
2. Step 2: Convert to fraction form
   55,536/86,019 = 86,019/x
3. Step 3: Cross multiply
   55,536x = 86,019 × 86,019
4. Step 4: Simplify right side
   55,536x = 7,399,268,361
5. Step 5: Solve for x
   x = 7,399,268,361/55,536
6. Step 6: Final answer
   x = 133,233.73