Finding the Third Proportional to 35,243 and 76,804

Step by Step Solution

1. Step 1: Write the proportion equation
   35,243 : 76,804 = 76,804 : x
2. Step 2: Convert to fraction form
   35,243/76,804 = 76,804/x
3. Step 3: Cross multiply
   35,243x = 76,804 × 76,804
4. Step 4: Simplify right side
   35,243x = 5,898,854,416
5. Step 5: Solve for x
   x = 5,898,854,416/35,243
6. Step 6: Final answer
   x = 167,376.63