Finding the Third Proportional to 16,578 and 35,610

Step by Step Solution

1. Step 1: Write the proportion equation
   16,578 : 35,610 = 35,610 : x
2. Step 2: Convert to fraction form
   16,578/35,610 = 35,610/x
3. Step 3: Cross multiply
   16,578x = 35,610 × 35,610
4. Step 4: Simplify right side
   16,578x = 1,268,072,100
5. Step 5: Solve for x
   x = 1,268,072,100/16,578
6. Step 6: Final answer
   x = 76,491.26