Finding the Third Proportional to 23,749 and 35,257

Step by Step Solution

1. Step 1: Write the proportion equation
   23,749 : 35,257 = 35,257 : x
2. Step 2: Convert to fraction form
   23,749/35,257 = 35,257/x
3. Step 3: Cross multiply
   23,749x = 35,257 × 35,257
4. Step 4: Simplify right side
   23,749x = 1,243,056,049
5. Step 5: Solve for x
   x = 1,243,056,049/23,749
6. Step 6: Final answer
   x = 52,341.41