Finding the Third Proportional to 34,822 and 76,556

Step by Step Solution

1. Step 1: Write the proportion equation
   34,822 : 76,556 = 76,556 : x
2. Step 2: Convert to fraction form
   34,822/76,556 = 76,556/x
3. Step 3: Cross multiply
   34,822x = 76,556 × 76,556
4. Step 4: Simplify right side
   34,822x = 5,860,821,136
5. Step 5: Solve for x
   x = 5,860,821,136/34,822
6. Step 6: Final answer
   x = 168,308.00