Finding the Third Proportional to 23,852 and 35,374

Step by Step Solution

1. Step 1: Write the proportion equation
   23,852 : 35,374 = 35,374 : x
2. Step 2: Convert to fraction form
   23,852/35,374 = 35,374/x
3. Step 3: Cross multiply
   23,852x = 35,374 × 35,374
4. Step 4: Simplify right side
   23,852x = 1,251,319,876
5. Step 5: Solve for x
   x = 1,251,319,876/23,852
6. Step 6: Final answer
   x = 52,461.84