Finding the Third Proportional to 10,080.70 and 21,680.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080.70 : 21,680.16 = 21,680.16 : x
2. Step 2: Convert to fraction form
   10,080.70/21,680.16 = 21,680.16/x
3. Step 3: Cross multiply
   10,080.70x = 21,680.16 × 21,680.16
4. Step 4: Simplify right side
   10,080.70x = 470,029,175.02
5. Step 5: Solve for x
   x = 470,029,175.02/10,080.70
6. Step 6: Final answer
   x = 46,626.63