Finding the Third Proportional to 22,880 and 35,661

Step by Step Solution

1. Step 1: Write the proportion equation
   22,880 : 35,661 = 35,661 : x
2. Step 2: Convert to fraction form
   22,880/35,661 = 35,661/x
3. Step 3: Cross multiply
   22,880x = 35,661 × 35,661
4. Step 4: Simplify right side
   22,880x = 1,271,706,921
5. Step 5: Solve for x
   x = 1,271,706,921/22,880
6. Step 6: Final answer
   x = 55,581.60