Finding the Third Proportional to 22,896 and 35,680

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896 : 35,680 = 35,680 : x
2. Step 2: Convert to fraction form
   22,896/35,680 = 35,680/x
3. Step 3: Cross multiply
   22,896x = 35,680 × 35,680
4. Step 4: Simplify right side
   22,896x = 1,273,062,400
5. Step 5: Solve for x
   x = 1,273,062,400/22,896
6. Step 6: Final answer
   x = 55,601.96