Finding the Third Proportional to 11,686 and 25,033

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686 : 25,033 = 25,033 : x
2. Step 2: Convert to fraction form
   11,686/25,033 = 25,033/x
3. Step 3: Cross multiply
   11,686x = 25,033 × 25,033
4. Step 4: Simplify right side
   11,686x = 626,651,089
5. Step 5: Solve for x
   x = 626,651,089/11,686
6. Step 6: Final answer
   x = 53,624.09