Finding the Third Proportional to 30,024 and 64,692

Step by Step Solution

1. Step 1: Write the proportion equation
   30,024 : 64,692 = 64,692 : x
2. Step 2: Convert to fraction form
   30,024/64,692 = 64,692/x
3. Step 3: Cross multiply
   30,024x = 64,692 × 64,692
4. Step 4: Simplify right side
   30,024x = 4,185,054,864
5. Step 5: Solve for x
   x = 4,185,054,864/30,024
6. Step 6: Final answer
   x = 139,390.32