Finding the Third Proportional to 55,677 and 86,016

Step by Step Solution

1. Step 1: Write the proportion equation
   55,677 : 86,016 = 86,016 : x
2. Step 2: Convert to fraction form
   55,677/86,016 = 86,016/x
3. Step 3: Cross multiply
   55,677x = 86,016 × 86,016
4. Step 4: Simplify right side
   55,677x = 7,398,752,256
5. Step 5: Solve for x
   x = 7,398,752,256/55,677
6. Step 6: Final answer
   x = 132,887.05