Finding the Third Proportional to 25,751 and 53,141

Step by Step Solution

1. Step 1: Write the proportion equation
   25,751 : 53,141 = 53,141 : x
2. Step 2: Convert to fraction form
   25,751/53,141 = 53,141/x
3. Step 3: Cross multiply
   25,751x = 53,141 × 53,141
4. Step 4: Simplify right side
   25,751x = 2,823,965,881
5. Step 5: Solve for x
   x = 2,823,965,881/25,751
6. Step 6: Final answer
   x = 109,664.32