Finding the Third Proportional to 5,191.50 and 7,841.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,191.50 : 7,841.25 = 7,841.25 : x
2. Step 2: Convert to fraction form
   5,191.50/7,841.25 = 7,841.25/x
3. Step 3: Cross multiply
   5,191.50x = 7,841.25 × 7,841.25
4. Step 4: Simplify right side
   5,191.50x = 61,485,201.56
5. Step 5: Solve for x
   x = 61,485,201.56/5,191.50
6. Step 6: Final answer
   x = 11,843.44