Finding the Third Proportional to 10,884 and 17,362

Step by Step Solution

1. Step 1: Write the proportion equation
   10,884 : 17,362 = 17,362 : x
2. Step 2: Convert to fraction form
   10,884/17,362 = 17,362/x
3. Step 3: Cross multiply
   10,884x = 17,362 × 17,362
4. Step 4: Simplify right side
   10,884x = 301,439,044
5. Step 5: Solve for x
   x = 301,439,044/10,884
6. Step 6: Final answer
   x = 27,695.61