Finding the Third Proportional to 53,084 and 80,940

Step by Step Solution

1. Step 1: Write the proportion equation
   53,084 : 80,940 = 80,940 : x
2. Step 2: Convert to fraction form
   53,084/80,940 = 80,940/x
3. Step 3: Cross multiply
   53,084x = 80,940 × 80,940
4. Step 4: Simplify right side
   53,084x = 6,551,283,600
5. Step 5: Solve for x
   x = 6,551,283,600/53,084
6. Step 6: Final answer
   x = 123,413.53