Finding the Third Proportional to 55,344 and 72,648

Step by Step Solution

1. Step 1: Write the proportion equation
   55,344 : 72,648 = 72,648 : x
2. Step 2: Convert to fraction form
   55,344/72,648 = 72,648/x
3. Step 3: Cross multiply
   55,344x = 72,648 × 72,648
4. Step 4: Simplify right side
   55,344x = 5,277,731,904
5. Step 5: Solve for x
   x = 5,277,731,904/55,344
6. Step 6: Final answer
   x = 95,362.31