Finding the Third Proportional to 2,098.50 and 4,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.50 : 4,523.25 = 4,523.25 : x
2. Step 2: Convert to fraction form
   2,098.50/4,523.25 = 4,523.25/x
3. Step 3: Cross multiply
   2,098.50x = 4,523.25 × 4,523.25
4. Step 4: Simplify right side
   2,098.50x = 20,459,790.56
5. Step 5: Solve for x
   x = 20,459,790.56/2,098.50
6. Step 6: Final answer
   x = 9,749.72