Finding the Third Proportional to 7,833 and 10,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,833 : 10,741.50 = 10,741.50 : x
2. Step 2: Convert to fraction form
   7,833/10,741.50 = 10,741.50/x
3. Step 3: Cross multiply
   7,833x = 10,741.50 × 10,741.50
4. Step 4: Simplify right side
   7,833x = 115,379,822.25
5. Step 5: Solve for x
   x = 115,379,822.25/7,833
6. Step 6: Final answer
   x = 14,729.97