Finding the Third Proportional to 55,796 and 83,694

Step by Step Solution

1. Step 1: Write the proportion equation
   55,796 : 83,694 = 83,694 : x
2. Step 2: Convert to fraction form
   55,796/83,694 = 83,694/x
3. Step 3: Cross multiply
   55,796x = 83,694 × 83,694
4. Step 4: Simplify right side
   55,796x = 7,004,685,636
5. Step 5: Solve for x
   x = 7,004,685,636/55,796
6. Step 6: Final answer
   x = 125,541