Finding the Third Proportional to 16,381 and 25,202

Step by Step Solution

1. Step 1: Write the proportion equation
   16,381 : 25,202 = 25,202 : x
2. Step 2: Convert to fraction form
   16,381/25,202 = 25,202/x
3. Step 3: Cross multiply
   16,381x = 25,202 × 25,202
4. Step 4: Simplify right side
   16,381x = 635,140,804
5. Step 5: Solve for x
   x = 635,140,804/16,381
6. Step 6: Final answer
   x = 38,773.02