Finding the Third Proportional to 10,980 and 21,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,980 : 21,409.50 = 21,409.50 : x
2. Step 2: Convert to fraction form
   10,980/21,409.50 = 21,409.50/x
3. Step 3: Cross multiply
   10,980x = 21,409.50 × 21,409.50
4. Step 4: Simplify right side
   10,980x = 458,366,690.25
5. Step 5: Solve for x
   x = 458,366,690.25/10,980
6. Step 6: Final answer
   x = 41,745.60