Finding the Third Proportional to 10,830 and 16,535

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830 : 16,535 = 16,535 : x
2. Step 2: Convert to fraction form
   10,830/16,535 = 16,535/x
3. Step 3: Cross multiply
   10,830x = 16,535 × 16,535
4. Step 4: Simplify right side
   10,830x = 273,406,225
5. Step 5: Solve for x
   x = 273,406,225/10,830
6. Step 6: Final answer
   x = 25,245.27