Finding the Third Proportional to 23,074 and 49,549

Step by Step Solution

1. Step 1: Write the proportion equation
   23,074 : 49,549 = 49,549 : x
2. Step 2: Convert to fraction form
   23,074/49,549 = 49,549/x
3. Step 3: Cross multiply
   23,074x = 49,549 × 49,549
4. Step 4: Simplify right side
   23,074x = 2,455,103,401
5. Step 5: Solve for x
   x = 2,455,103,401/23,074
6. Step 6: Final answer
   x = 106,401.29