Finding the Third Proportional to 11,274 and 23,088

Step by Step Solution

1. Step 1: Write the proportion equation
   11,274 : 23,088 = 23,088 : x
2. Step 2: Convert to fraction form
   11,274/23,088 = 23,088/x
3. Step 3: Cross multiply
   11,274x = 23,088 × 23,088
4. Step 4: Simplify right side
   11,274x = 533,055,744
5. Step 5: Solve for x
   x = 533,055,744/11,274
6. Step 6: Final answer
   x = 47,281.86