Finding the Third Proportional to 10,366 and 19,262

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 19,262 = 19,262 : x
2. Step 2: Convert to fraction form
   10,366/19,262 = 19,262/x
3. Step 3: Cross multiply
   10,366x = 19,262 × 19,262
4. Step 4: Simplify right side
   10,366x = 371,024,644
5. Step 5: Solve for x
   x = 371,024,644/10,366
6. Step 6: Final answer
   x = 35,792.46