Finding the Third Proportional to 35,208 and 76,488

Step by Step Solution

1. Step 1: Write the proportion equation
   35,208 : 76,488 = 76,488 : x
2. Step 2: Convert to fraction form
   35,208/76,488 = 76,488/x
3. Step 3: Cross multiply
   35,208x = 76,488 × 76,488
4. Step 4: Simplify right side
   35,208x = 5,850,414,144
5. Step 5: Solve for x
   x = 5,850,414,144/35,208
6. Step 6: Final answer
   x = 166,167.18