Finding the Third Proportional to 34,582 and 53,494

Step by Step Solution

1. Step 1: Write the proportion equation
   34,582 : 53,494 = 53,494 : x
2. Step 2: Convert to fraction form
   34,582/53,494 = 53,494/x
3. Step 3: Cross multiply
   34,582x = 53,494 × 53,494
4. Step 4: Simplify right side
   34,582x = 2,861,608,036
5. Step 5: Solve for x
   x = 2,861,608,036/34,582
6. Step 6: Final answer
   x = 82,748.48