Finding the Third Proportional to 49,842 and 74,049

Step by Step Solution

1. Step 1: Write the proportion equation
   49,842 : 74,049 = 74,049 : x
2. Step 2: Convert to fraction form
   49,842/74,049 = 74,049/x
3. Step 3: Cross multiply
   49,842x = 74,049 × 74,049
4. Step 4: Simplify right side
   49,842x = 5,483,254,401
5. Step 5: Solve for x
   x = 5,483,254,401/49,842
6. Step 6: Final answer
   x = 110,012.73