Finding the Third Proportional to 17,787 and 25,762

Step by Step Solution

1. Step 1: Write the proportion equation
   17,787 : 25,762 = 25,762 : x
2. Step 2: Convert to fraction form
   17,787/25,762 = 25,762/x
3. Step 3: Cross multiply
   17,787x = 25,762 × 25,762
4. Step 4: Simplify right side
   17,787x = 663,680,644
5. Step 5: Solve for x
   x = 663,680,644/17,787
6. Step 6: Final answer
   x = 37,312.68