Finding the Third Proportional to 5,095.50 and 10,518.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,095.50 : 10,518.38 = 10,518.38 : x
2. Step 2: Convert to fraction form
   5,095.50/10,518.38 = 10,518.38/x
3. Step 3: Cross multiply
   5,095.50x = 10,518.38 × 10,518.38
4. Step 4: Simplify right side
   5,095.50x = 110,636,212.64
5. Step 5: Solve for x
   x = 110,636,212.64/5,095.50
6. Step 6: Final answer
   x = 21,712.53