Finding the Third Proportional to 10,052 and 17,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052 : 17,608 = 17,608 : x
2. Step 2: Convert to fraction form
   10,052/17,608 = 17,608/x
3. Step 3: Cross multiply
   10,052x = 17,608 × 17,608
4. Step 4: Simplify right side
   10,052x = 310,041,664
5. Step 5: Solve for x
   x = 310,041,664/10,052
6. Step 6: Final answer
   x = 30,843.78