Finding the Third Proportional to 17,787 and 25,948

Step by Step Solution

1. Step 1: Write the proportion equation
   17,787 : 25,948 = 25,948 : x
2. Step 2: Convert to fraction form
   17,787/25,948 = 25,948/x
3. Step 3: Cross multiply
   17,787x = 25,948 × 25,948
4. Step 4: Simplify right side
   17,787x = 673,298,704
5. Step 5: Solve for x
   x = 673,298,704/17,787
6. Step 6: Final answer
   x = 37,853.42