Finding the Third Proportional to 11,758 and 25,118

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758 : 25,118 = 25,118 : x
2. Step 2: Convert to fraction form
   11,758/25,118 = 25,118/x
3. Step 3: Cross multiply
   11,758x = 25,118 × 25,118
4. Step 4: Simplify right side
   11,758x = 630,913,924
5. Step 5: Solve for x
   x = 630,913,924/11,758
6. Step 6: Final answer
   x = 53,658.27