Finding the Third Proportional to 11,340 and 23,454

Step by Step Solution

1. Step 1: Write the proportion equation
   11,340 : 23,454 = 23,454 : x
2. Step 2: Convert to fraction form
   11,340/23,454 = 23,454/x
3. Step 3: Cross multiply
   11,340x = 23,454 × 23,454
4. Step 4: Simplify right side
   11,340x = 550,090,116
5. Step 5: Solve for x
   x = 550,090,116/11,340
6. Step 6: Final answer
   x = 48,508.83