Finding the Third Proportional to 5,109 and 7,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109 : 7,714.50 = 7,714.50 : x
2. Step 2: Convert to fraction form
   5,109/7,714.50 = 7,714.50/x
3. Step 3: Cross multiply
   5,109x = 7,714.50 × 7,714.50
4. Step 4: Simplify right side
   5,109x = 59,513,510.25
5. Step 5: Solve for x
   x = 59,513,510.25/5,109
6. Step 6: Final answer
   x = 11,648.76