Finding the Third Proportional to 2,089.31 and 4,505.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.31 : 4,505.16 = 4,505.16 : x
2. Step 2: Convert to fraction form
   2,089.31/4,505.16 = 4,505.16/x
3. Step 3: Cross multiply
   2,089.31x = 4,505.16 × 4,505.16
4. Step 4: Simplify right side
   2,089.31x = 20,296,432.84
5. Step 5: Solve for x
   x = 20,296,432.84/2,089.31
6. Step 6: Final answer
   x = 9,714.41