Finding the Third Proportional to 30,768 and 72,608

Step by Step Solution

1. Step 1: Write the proportion equation
   30,768 : 72,608 = 72,608 : x
2. Step 2: Convert to fraction form
   30,768/72,608 = 72,608/x
3. Step 3: Cross multiply
   30,768x = 72,608 × 72,608
4. Step 4: Simplify right side
   30,768x = 5,271,921,664
5. Step 5: Solve for x
   x = 5,271,921,664/30,768
6. Step 6: Final answer
   x = 171,344.31