Finding the Third Proportional to 25,427 and 34,414

Step by Step Solution

1. Step 1: Write the proportion equation
   25,427 : 34,414 = 34,414 : x
2. Step 2: Convert to fraction form
   25,427/34,414 = 34,414/x
3. Step 3: Cross multiply
   25,427x = 34,414 × 34,414
4. Step 4: Simplify right side
   25,427x = 1,184,323,396
5. Step 5: Solve for x
   x = 1,184,323,396/25,427
6. Step 6: Final answer
   x = 46,577.39