Finding the Third Proportional to 9,608 and 22,316

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608 : 22,316 = 22,316 : x
2. Step 2: Convert to fraction form
   9,608/22,316 = 22,316/x
3. Step 3: Cross multiply
   9,608x = 22,316 × 22,316
4. Step 4: Simplify right side
   9,608x = 498,003,856
5. Step 5: Solve for x
   x = 498,003,856/9,608
6. Step 6: Final answer
   x = 51,832.21