Finding the Third Proportional to 10,025 and 19,282

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025 : 19,282 = 19,282 : x
2. Step 2: Convert to fraction form
   10,025/19,282 = 19,282/x
3. Step 3: Cross multiply
   10,025x = 19,282 × 19,282
4. Step 4: Simplify right side
   10,025x = 371,795,524
5. Step 5: Solve for x
   x = 371,795,524/10,025
6. Step 6: Final answer
   x = 37,086.84