Finding the Third Proportional to 17,877 and 26,510

Step by Step Solution

1. Step 1: Write the proportion equation
   17,877 : 26,510 = 26,510 : x
2. Step 2: Convert to fraction form
   17,877/26,510 = 26,510/x
3. Step 3: Cross multiply
   17,877x = 26,510 × 26,510
4. Step 4: Simplify right side
   17,877x = 702,780,100
5. Step 5: Solve for x
   x = 702,780,100/17,877
6. Step 6: Final answer
   x = 39,311.97