Finding the Third Proportional to 17,780 and 25,409

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780 : 25,409 = 25,409 : x
2. Step 2: Convert to fraction form
   17,780/25,409 = 25,409/x
3. Step 3: Cross multiply
   17,780x = 25,409 × 25,409
4. Step 4: Simplify right side
   17,780x = 645,617,281
5. Step 5: Solve for x
   x = 645,617,281/17,780
6. Step 6: Final answer
   x = 36,311.43