Finding the Third Proportional to 7,834.50 and 10,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 10,743.75 = 10,743.75 : x
2. Step 2: Convert to fraction form
   7,834.50/10,743.75 = 10,743.75/x
3. Step 3: Cross multiply
   7,834.50x = 10,743.75 × 10,743.75
4. Step 4: Simplify right side
   7,834.50x = 115,428,164.06
5. Step 5: Solve for x
   x = 115,428,164.06/7,834.50
6. Step 6: Final answer
   x = 14,733.32