Finding the Third Proportional to 30,055 and 64,538

Step by Step Solution

1. Step 1: Write the proportion equation
   30,055 : 64,538 = 64,538 : x
2. Step 2: Convert to fraction form
   30,055/64,538 = 64,538/x
3. Step 3: Cross multiply
   30,055x = 64,538 × 64,538
4. Step 4: Simplify right side
   30,055x = 4,165,153,444
5. Step 5: Solve for x
   x = 4,165,153,444/30,055
6. Step 6: Final answer
   x = 138,584.38