Finding the Third Proportional to 30,354 and 64,178

Step by Step Solution

1. Step 1: Write the proportion equation
   30,354 : 64,178 = 64,178 : x
2. Step 2: Convert to fraction form
   30,354/64,178 = 64,178/x
3. Step 3: Cross multiply
   30,354x = 64,178 × 64,178
4. Step 4: Simplify right side
   30,354x = 4,118,815,684
5. Step 5: Solve for x
   x = 4,118,815,684/30,354
6. Step 6: Final answer
   x = 135,692.68