Finding the Third Proportional to 24,680 and 35,256

Step by Step Solution

1. Step 1: Write the proportion equation
   24,680 : 35,256 = 35,256 : x
2. Step 2: Convert to fraction form
   24,680/35,256 = 35,256/x
3. Step 3: Cross multiply
   24,680x = 35,256 × 35,256
4. Step 4: Simplify right side
   24,680x = 1,242,985,536
5. Step 5: Solve for x
   x = 1,242,985,536/24,680
6. Step 6: Final answer
   x = 50,364.08