Finding the Third Proportional to 2,516.50 and 5,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,516.50 : 5,109.50 = 5,109.50 : x
2. Step 2: Convert to fraction form
   2,516.50/5,109.50 = 5,109.50/x
3. Step 3: Cross multiply
   2,516.50x = 5,109.50 × 5,109.50
4. Step 4: Simplify right side
   2,516.50x = 26,106,990.25
5. Step 5: Solve for x
   x = 26,106,990.25/2,516.50
6. Step 6: Final answer
   x = 10,374.33