Finding the Third Proportional to 11,635 and 25,850

Step by Step Solution

1. Step 1: Write the proportion equation
   11,635 : 25,850 = 25,850 : x
2. Step 2: Convert to fraction form
   11,635/25,850 = 25,850/x
3. Step 3: Cross multiply
   11,635x = 25,850 × 25,850
4. Step 4: Simplify right side
   11,635x = 668,222,500
5. Step 5: Solve for x
   x = 668,222,500/11,635
6. Step 6: Final answer
   x = 57,432.10