Finding the Third Proportional to 24,256 and 31,200

Step by Step Solution

1. Step 1: Write the proportion equation
   24,256 : 31,200 = 31,200 : x
2. Step 2: Convert to fraction form
   24,256/31,200 = 31,200/x
3. Step 3: Cross multiply
   24,256x = 31,200 × 31,200
4. Step 4: Simplify right side
   24,256x = 973,440,000
5. Step 5: Solve for x
   x = 973,440,000/24,256
6. Step 6: Final answer
   x = 40,131.93