Finding the Third Proportional to 35,200 and 76,597

Step by Step Solution

1. Step 1: Write the proportion equation
   35,200 : 76,597 = 76,597 : x
2. Step 2: Convert to fraction form
   35,200/76,597 = 76,597/x
3. Step 3: Cross multiply
   35,200x = 76,597 × 76,597
4. Step 4: Simplify right side
   35,200x = 5,867,100,409
5. Step 5: Solve for x
   x = 5,867,100,409/35,200
6. Step 6: Final answer
   x = 166,678.99