Finding the Third Proportional to 36,582 and 53,573

Step by Step Solution

1. Step 1: Write the proportion equation
   36,582 : 53,573 = 53,573 : x
2. Step 2: Convert to fraction form
   36,582/53,573 = 53,573/x
3. Step 3: Cross multiply
   36,582x = 53,573 × 53,573
4. Step 4: Simplify right side
   36,582x = 2,870,066,329
5. Step 5: Solve for x
   x = 2,870,066,329/36,582
6. Step 6: Final answer
   x = 78,455.70