Finding the Third Proportional to 17,782 and 25,412

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782 : 25,412 = 25,412 : x
2. Step 2: Convert to fraction form
   17,782/25,412 = 25,412/x
3. Step 3: Cross multiply
   17,782x = 25,412 × 25,412
4. Step 4: Simplify right side
   17,782x = 645,769,744
5. Step 5: Solve for x
   x = 645,769,744/17,782
6. Step 6: Final answer
   x = 36,315.92