Finding the Third Proportional to 30,648 and 64,386

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648 : 64,386 = 64,386 : x
2. Step 2: Convert to fraction form
   30,648/64,386 = 64,386/x
3. Step 3: Cross multiply
   30,648x = 64,386 × 64,386
4. Step 4: Simplify right side
   30,648x = 4,145,556,996
5. Step 5: Solve for x
   x = 4,145,556,996/30,648
6. Step 6: Final answer
   x = 135,263.54