Finding the Third Proportional to 23,816 and 35,680

Step by Step Solution

1. Step 1: Write the proportion equation
   23,816 : 35,680 = 35,680 : x
2. Step 2: Convert to fraction form
   23,816/35,680 = 35,680/x
3. Step 3: Cross multiply
   23,816x = 35,680 × 35,680
4. Step 4: Simplify right side
   23,816x = 1,273,062,400
5. Step 5: Solve for x
   x = 1,273,062,400/23,816
6. Step 6: Final answer
   x = 53,454.08