Finding the Third Proportional to 30,278 and 64,162

Step by Step Solution

1. Step 1: Write the proportion equation
   30,278 : 64,162 = 64,162 : x
2. Step 2: Convert to fraction form
   30,278/64,162 = 64,162/x
3. Step 3: Cross multiply
   30,278x = 64,162 × 64,162
4. Step 4: Simplify right side
   30,278x = 4,116,762,244
5. Step 5: Solve for x
   x = 4,116,762,244/30,278
6. Step 6: Final answer
   x = 135,965.46