Finding the Third Proportional to 11,164 and 23,552

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 23,552 = 23,552 : x
2. Step 2: Convert to fraction form
   11,164/23,552 = 23,552/x
3. Step 3: Cross multiply
   11,164x = 23,552 × 23,552
4. Step 4: Simplify right side
   11,164x = 554,696,704
5. Step 5: Solve for x
   x = 554,696,704/11,164
6. Step 6: Final answer
   x = 49,686.20