Finding the Third Proportional to 12,106 and 25,854

Step by Step Solution

1. Step 1: Write the proportion equation
   12,106 : 25,854 = 25,854 : x
2. Step 2: Convert to fraction form
   12,106/25,854 = 25,854/x
3. Step 3: Cross multiply
   12,106x = 25,854 × 25,854
4. Step 4: Simplify right side
   12,106x = 668,429,316
5. Step 5: Solve for x
   x = 668,429,316/12,106
6. Step 6: Final answer
   x = 55,214.71