Finding the Third Proportional to 2,080.13 and 4,506.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.13 : 4,506.47 = 4,506.47 : x
2. Step 2: Convert to fraction form
   2,080.13/4,506.47 = 4,506.47/x
3. Step 3: Cross multiply
   2,080.13x = 4,506.47 × 4,506.47
4. Step 4: Simplify right side
   2,080.13x = 20,308,260.59
5. Step 5: Solve for x
   x = 20,308,260.59/2,080.13
6. Step 6: Final answer
   x = 9,763.00