Finding the Third Proportional to 30,912 and 57,405

Step by Step Solution

1. Step 1: Write the proportion equation
   30,912 : 57,405 = 57,405 : x
2. Step 2: Convert to fraction form
   30,912/57,405 = 57,405/x
3. Step 3: Cross multiply
   30,912x = 57,405 × 57,405
4. Step 4: Simplify right side
   30,912x = 3,295,334,025
5. Step 5: Solve for x
   x = 3,295,334,025/30,912
6. Step 6: Final answer
   x = 106,603.71