Finding the Third Proportional to 30,729 and 64,548

Step by Step Solution

1. Step 1: Write the proportion equation
   30,729 : 64,548 = 64,548 : x
2. Step 2: Convert to fraction form
   30,729/64,548 = 64,548/x
3. Step 3: Cross multiply
   30,729x = 64,548 × 64,548
4. Step 4: Simplify right side
   30,729x = 4,166,444,304
5. Step 5: Solve for x
   x = 4,166,444,304/30,729
6. Step 6: Final answer
   x = 135,586.72