Finding the Third Proportional to 17,736 and 25,506

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 25,506 = 25,506 : x
2. Step 2: Convert to fraction form
   17,736/25,506 = 25,506/x
3. Step 3: Cross multiply
   17,736x = 25,506 × 25,506
4. Step 4: Simplify right side
   17,736x = 650,556,036
5. Step 5: Solve for x
   x = 650,556,036/17,736
6. Step 6: Final answer
   x = 36,679.97