Finding the Third Proportional to 25,834 and 56,510

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834 : 56,510 = 56,510 : x
2. Step 2: Convert to fraction form
   25,834/56,510 = 56,510/x
3. Step 3: Cross multiply
   25,834x = 56,510 × 56,510
4. Step 4: Simplify right side
   25,834x = 3,193,380,100
5. Step 5: Solve for x
   x = 3,193,380,100/25,834
6. Step 6: Final answer
   x = 123,611.52