Finding the Third Proportional to 5,141 and 7,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141 : 7,749.50 = 7,749.50 : x
2. Step 2: Convert to fraction form
   5,141/7,749.50 = 7,749.50/x
3. Step 3: Cross multiply
   5,141x = 7,749.50 × 7,749.50
4. Step 4: Simplify right side
   5,141x = 60,054,750.25
5. Step 5: Solve for x
   x = 60,054,750.25/5,141
6. Step 6: Final answer
   x = 11,681.53