Finding the Third Proportional to 35,647 and 76,558

Step by Step Solution

1. Step 1: Write the proportion equation
   35,647 : 76,558 = 76,558 : x
2. Step 2: Convert to fraction form
   35,647/76,558 = 76,558/x
3. Step 3: Cross multiply
   35,647x = 76,558 × 76,558
4. Step 4: Simplify right side
   35,647x = 5,861,127,364
5. Step 5: Solve for x
   x = 5,861,127,364/35,647
6. Step 6: Final answer
   x = 164,421.34