Finding the Third Proportional to 11,152 and 23,222

Step by Step Solution

1. Step 1: Write the proportion equation
   11,152 : 23,222 = 23,222 : x
2. Step 2: Convert to fraction form
   11,152/23,222 = 23,222/x
3. Step 3: Cross multiply
   11,152x = 23,222 × 23,222
4. Step 4: Simplify right side
   11,152x = 539,261,284
5. Step 5: Solve for x
   x = 539,261,284/11,152
6. Step 6: Final answer
   x = 48,355.57