Finding the Third Proportional to 23,766 and 35,274

Step by Step Solution

1. Step 1: Write the proportion equation
   23,766 : 35,274 = 35,274 : x
2. Step 2: Convert to fraction form
   23,766/35,274 = 35,274/x
3. Step 3: Cross multiply
   23,766x = 35,274 × 35,274
4. Step 4: Simplify right side
   23,766x = 1,244,255,076
5. Step 5: Solve for x
   x = 1,244,255,076/23,766
6. Step 6: Final answer
   x = 52,354.42