Finding the Third Proportional to 35,200 and 76,596

Step by Step Solution

1. Step 1: Write the proportion equation
   35,200 : 76,596 = 76,596 : x
2. Step 2: Convert to fraction form
   35,200/76,596 = 76,596/x
3. Step 3: Cross multiply
   35,200x = 76,596 × 76,596
4. Step 4: Simplify right side
   35,200x = 5,866,947,216
5. Step 5: Solve for x
   x = 5,866,947,216/35,200
6. Step 6: Final answer
   x = 166,674.64