Finding the Third Proportional to 34,022 and 74,556

Step by Step Solution

1. Step 1: Write the proportion equation
   34,022 : 74,556 = 74,556 : x
2. Step 2: Convert to fraction form
   34,022/74,556 = 74,556/x
3. Step 3: Cross multiply
   34,022x = 74,556 × 74,556
4. Step 4: Simplify right side
   34,022x = 5,558,597,136
5. Step 5: Solve for x
   x = 5,558,597,136/34,022
6. Step 6: Final answer
   x = 163,382.43