Finding the Third Proportional to 19,757 and 31,265

Step by Step Solution

1. Step 1: Write the proportion equation
   19,757 : 31,265 = 31,265 : x
2. Step 2: Convert to fraction form
   19,757/31,265 = 31,265/x
3. Step 3: Cross multiply
   19,757x = 31,265 × 31,265
4. Step 4: Simplify right side
   19,757x = 977,500,225
5. Step 5: Solve for x
   x = 977,500,225/19,757
6. Step 6: Final answer
   x = 49,476.15