Finding the Third Proportional to 49,819 and 74,022

Step by Step Solution

1. Step 1: Write the proportion equation
   49,819 : 74,022 = 74,022 : x
2. Step 2: Convert to fraction form
   49,819/74,022 = 74,022/x
3. Step 3: Cross multiply
   49,819x = 74,022 × 74,022
4. Step 4: Simplify right side
   49,819x = 5,479,256,484
5. Step 5: Solve for x
   x = 5,479,256,484/49,819
6. Step 6: Final answer
   x = 109,983.27