Finding the Third Proportional to 35,040 and 76,416

Step by Step Solution

1. Step 1: Write the proportion equation
   35,040 : 76,416 = 76,416 : x
2. Step 2: Convert to fraction form
   35,040/76,416 = 76,416/x
3. Step 3: Cross multiply
   35,040x = 76,416 × 76,416
4. Step 4: Simplify right side
   35,040x = 5,839,405,056
5. Step 5: Solve for x
   x = 5,839,405,056/35,040
6. Step 6: Final answer
   x = 166,649.69