Finding the Third Proportional to 2,099.25 and 4,471.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.25 : 4,471.88 = 4,471.88 : x
2. Step 2: Convert to fraction form
   2,099.25/4,471.88 = 4,471.88/x
3. Step 3: Cross multiply
   2,099.25x = 4,471.88 × 4,471.88
4. Step 4: Simplify right side
   2,099.25x = 19,997,666.02
5. Step 5: Solve for x
   x = 19,997,666.02/2,099.25
6. Step 6: Final answer
   x = 9,526.10