Finding the Third Proportional to 25,512 and 55,123

Step by Step Solution

1. Step 1: Write the proportion equation
   25,512 : 55,123 = 55,123 : x
2. Step 2: Convert to fraction form
   25,512/55,123 = 55,123/x
3. Step 3: Cross multiply
   25,512x = 55,123 × 55,123
4. Step 4: Simplify right side
   25,512x = 3,038,545,129
5. Step 5: Solve for x
   x = 3,038,545,129/25,512
6. Step 6: Final answer
   x = 119,102.58