Finding the Third Proportional to 27,648 and 43,200

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 43,200 = 43,200 : x
2. Step 2: Convert to fraction form
   27,648/43,200 = 43,200/x
3. Step 3: Cross multiply
   27,648x = 43,200 × 43,200
4. Step 4: Simplify right side
   27,648x = 1,866,240,000
5. Step 5: Solve for x
   x = 1,866,240,000/27,648
6. Step 6: Final answer
   x = 67,500