Finding the Third Proportional to 10,980 and 17,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,980 : 17,506 = 17,506 : x
2. Step 2: Convert to fraction form
   10,980/17,506 = 17,506/x
3. Step 3: Cross multiply
   10,980x = 17,506 × 17,506
4. Step 4: Simplify right side
   10,980x = 306,460,036
5. Step 5: Solve for x
   x = 306,460,036/10,980
6. Step 6: Final answer
   x = 27,910.75