Finding the Third Proportional to 34,756 and 75,022

Step by Step Solution

1. Step 1: Write the proportion equation
   34,756 : 75,022 = 75,022 : x
2. Step 2: Convert to fraction form
   34,756/75,022 = 75,022/x
3. Step 3: Cross multiply
   34,756x = 75,022 × 75,022
4. Step 4: Simplify right side
   34,756x = 5,628,300,484
5. Step 5: Solve for x
   x = 5,628,300,484/34,756
6. Step 6: Final answer
   x = 161,937.52