Finding the Third Proportional to 5,233.50 and 7,844.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,233.50 : 7,844.06 = 7,844.06 : x
2. Step 2: Convert to fraction form
   5,233.50/7,844.06 = 7,844.06/x
3. Step 3: Cross multiply
   5,233.50x = 7,844.06 × 7,844.06
4. Step 4: Simplify right side
   5,233.50x = 61,529,316.50
5. Step 5: Solve for x
   x = 61,529,316.50/5,233.50
6. Step 6: Final answer
   x = 11,756.82