Finding the Third Proportional to 34,522 and 75,504

Step by Step Solution

1. Step 1: Write the proportion equation
   34,522 : 75,504 = 75,504 : x
2. Step 2: Convert to fraction form
   34,522/75,504 = 75,504/x
3. Step 3: Cross multiply
   34,522x = 75,504 × 75,504
4. Step 4: Simplify right side
   34,522x = 5,700,854,016
5. Step 5: Solve for x
   x = 5,700,854,016/34,522
6. Step 6: Final answer
   x = 165,136.84