Finding the Third Proportional to 35,649 and 76,562

Step by Step Solution

1. Step 1: Write the proportion equation
   35,649 : 76,562 = 76,562 : x
2. Step 2: Convert to fraction form
   35,649/76,562 = 76,562/x
3. Step 3: Cross multiply
   35,649x = 76,562 × 76,562
4. Step 4: Simplify right side
   35,649x = 5,861,739,844
5. Step 5: Solve for x
   x = 5,861,739,844/35,649
6. Step 6: Final answer
   x = 164,429.29