Finding the Third Proportional to 5,098.50 and 10,585.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.50 : 10,585.13 = 10,585.13 : x
2. Step 2: Convert to fraction form
   5,098.50/10,585.13 = 10,585.13/x
3. Step 3: Cross multiply
   5,098.50x = 10,585.13 × 10,585.13
4. Step 4: Simplify right side
   5,098.50x = 112,044,871.27
5. Step 5: Solve for x
   x = 112,044,871.27/5,098.50
6. Step 6: Final answer
   x = 21,976.05