Finding the Third Proportional to 27,584 and 56,064

Step by Step Solution

1. Step 1: Write the proportion equation
   27,584 : 56,064 = 56,064 : x
2. Step 2: Convert to fraction form
   27,584/56,064 = 56,064/x
3. Step 3: Cross multiply
   27,584x = 56,064 × 56,064
4. Step 4: Simplify right side
   27,584x = 3,143,172,096
5. Step 5: Solve for x
   x = 3,143,172,096/27,584
6. Step 6: Final answer
   x = 113,949.10