Finding the Third Proportional to 7,834.50 and 10,530

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 10,530 = 10,530 : x
2. Step 2: Convert to fraction form
   7,834.50/10,530 = 10,530/x
3. Step 3: Cross multiply
   7,834.50x = 10,530 × 10,530
4. Step 4: Simplify right side
   7,834.50x = 110,880,900
5. Step 5: Solve for x
   x = 110,880,900/7,834.50
6. Step 6: Final answer
   x = 14,152.90