Finding the Third Proportional to 55,800 and 83,823

Step by Step Solution

1. Step 1: Write the proportion equation
   55,800 : 83,823 = 83,823 : x
2. Step 2: Convert to fraction form
   55,800/83,823 = 83,823/x
3. Step 3: Cross multiply
   55,800x = 83,823 × 83,823
4. Step 4: Simplify right side
   55,800x = 7,026,295,329
5. Step 5: Solve for x
   x = 7,026,295,329/55,800
6. Step 6: Final answer
   x = 125,919.27