Finding the Third Proportional to 55,832 and 83,866

Step by Step Solution

1. Step 1: Write the proportion equation
   55,832 : 83,866 = 83,866 : x
2. Step 2: Convert to fraction form
   55,832/83,866 = 83,866/x
3. Step 3: Cross multiply
   55,832x = 83,866 × 83,866
4. Step 4: Simplify right side
   55,832x = 7,033,505,956
5. Step 5: Solve for x
   x = 7,033,505,956/55,832
6. Step 6: Final answer
   x = 125,976.25