Finding the Third Proportional to 53,826 and 77,049

Step by Step Solution

1. Step 1: Write the proportion equation
   53,826 : 77,049 = 77,049 : x
2. Step 2: Convert to fraction form
   53,826/77,049 = 77,049/x
3. Step 3: Cross multiply
   53,826x = 77,049 × 77,049
4. Step 4: Simplify right side
   53,826x = 5,936,548,401
5. Step 5: Solve for x
   x = 5,936,548,401/53,826
6. Step 6: Final answer
   x = 110,291.47