Finding the Third Proportional to 13,776 and 27,200

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776 : 27,200 = 27,200 : x
2. Step 2: Convert to fraction form
   13,776/27,200 = 27,200/x
3. Step 3: Cross multiply
   13,776x = 27,200 × 27,200
4. Step 4: Simplify right side
   13,776x = 739,840,000
5. Step 5: Solve for x
   x = 739,840,000/13,776
6. Step 6: Final answer
   x = 53,704.99