Finding the Third Proportional to 11,628 and 25,123

Step by Step Solution

1. Step 1: Write the proportion equation
   11,628 : 25,123 = 25,123 : x
2. Step 2: Convert to fraction form
   11,628/25,123 = 25,123/x
3. Step 3: Cross multiply
   11,628x = 25,123 × 25,123
4. Step 4: Simplify right side
   11,628x = 631,165,129
5. Step 5: Solve for x
   x = 631,165,129/11,628
6. Step 6: Final answer
   x = 54,279.77