Finding the Third Proportional to 10,388 and 19,624

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388 : 19,624 = 19,624 : x
2. Step 2: Convert to fraction form
   10,388/19,624 = 19,624/x
3. Step 3: Cross multiply
   10,388x = 19,624 × 19,624
4. Step 4: Simplify right side
   10,388x = 385,101,376
5. Step 5: Solve for x
   x = 385,101,376/10,388
6. Step 6: Final answer
   x = 37,071.75