Finding the Third Proportional to 11,680 and 23,905

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 23,905 = 23,905 : x
2. Step 2: Convert to fraction form
   11,680/23,905 = 23,905/x
3. Step 3: Cross multiply
   11,680x = 23,905 × 23,905
4. Step 4: Simplify right side
   11,680x = 571,449,025
5. Step 5: Solve for x
   x = 571,449,025/11,680
6. Step 6: Final answer
   x = 48,925.43