Finding the Third Proportional to 53,760 and 82,494

Step by Step Solution

1. Step 1: Write the proportion equation
   53,760 : 82,494 = 82,494 : x
2. Step 2: Convert to fraction form
   53,760/82,494 = 82,494/x
3. Step 3: Cross multiply
   53,760x = 82,494 × 82,494
4. Step 4: Simplify right side
   53,760x = 6,805,260,036
5. Step 5: Solve for x
   x = 6,805,260,036/53,760
6. Step 6: Final answer
   x = 126,585.94