Finding the Third Proportional to 25,714 and 55,492

Step by Step Solution

1. Step 1: Write the proportion equation
   25,714 : 55,492 = 55,492 : x
2. Step 2: Convert to fraction form
   25,714/55,492 = 55,492/x
3. Step 3: Cross multiply
   25,714x = 55,492 × 55,492
4. Step 4: Simplify right side
   25,714x = 3,079,362,064
5. Step 5: Solve for x
   x = 3,079,362,064/25,714
6. Step 6: Final answer
   x = 119,754.30