Finding the Third Proportional to 17,788 and 19,444

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 19,444 = 19,444 : x
2. Step 2: Convert to fraction form
   17,788/19,444 = 19,444/x
3. Step 3: Cross multiply
   17,788x = 19,444 × 19,444
4. Step 4: Simplify right side
   17,788x = 378,069,136
5. Step 5: Solve for x
   x = 378,069,136/17,788
6. Step 6: Final answer
   x = 21,254.17