Finding the Third Proportional to 10,273.50 and 13,658.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,273.50 : 13,658.25 = 13,658.25 : x
2. Step 2: Convert to fraction form
   10,273.50/13,658.25 = 13,658.25/x
3. Step 3: Cross multiply
   10,273.50x = 13,658.25 × 13,658.25
4. Step 4: Simplify right side
   10,273.50x = 186,547,793.06
5. Step 5: Solve for x
   x = 186,547,793.06/10,273.50
6. Step 6: Final answer
   x = 18,158.15