Finding the Third Proportional to 30,414 and 65,322

Step by Step Solution

1. Step 1: Write the proportion equation
   30,414 : 65,322 = 65,322 : x
2. Step 2: Convert to fraction form
   30,414/65,322 = 65,322/x
3. Step 3: Cross multiply
   30,414x = 65,322 × 65,322
4. Step 4: Simplify right side
   30,414x = 4,266,963,684
5. Step 5: Solve for x
   x = 4,266,963,684/30,414
6. Step 6: Final answer
   x = 140,296.04