Finding the Third Proportional to 30,592 and 41,280

Step by Step Solution

1. Step 1: Write the proportion equation
   30,592 : 41,280 = 41,280 : x
2. Step 2: Convert to fraction form
   30,592/41,280 = 41,280/x
3. Step 3: Cross multiply
   30,592x = 41,280 × 41,280
4. Step 4: Simplify right side
   30,592x = 1,704,038,400
5. Step 5: Solve for x
   x = 1,704,038,400/30,592
6. Step 6: Final answer
   x = 55,702.09