Finding the Third Proportional to 35,184 and 76,464

Step by Step Solution

1. Step 1: Write the proportion equation
   35,184 : 76,464 = 76,464 : x
2. Step 2: Convert to fraction form
   35,184/76,464 = 76,464/x
3. Step 3: Cross multiply
   35,184x = 76,464 × 76,464
4. Step 4: Simplify right side
   35,184x = 5,846,743,296
5. Step 5: Solve for x
   x = 5,846,743,296/35,184
6. Step 6: Final answer
   x = 166,176.20