Finding the Third Proportional to 55,628 and 86,142

Step by Step Solution

1. Step 1: Write the proportion equation
   55,628 : 86,142 = 86,142 : x
2. Step 2: Convert to fraction form
   55,628/86,142 = 86,142/x
3. Step 3: Cross multiply
   55,628x = 86,142 × 86,142
4. Step 4: Simplify right side
   55,628x = 7,420,444,164
5. Step 5: Solve for x
   x = 7,420,444,164/55,628
6. Step 6: Final answer
   x = 133,394.05