Finding the Third Proportional to 17,766 and 25,252

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 25,252 = 25,252 : x
2. Step 2: Convert to fraction form
   17,766/25,252 = 25,252/x
3. Step 3: Cross multiply
   17,766x = 25,252 × 25,252
4. Step 4: Simplify right side
   17,766x = 637,663,504
5. Step 5: Solve for x
   x = 637,663,504/17,766
6. Step 6: Final answer
   x = 35,892.35