Finding the Third Proportional to 5,116.50 and 9,992.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.50 : 9,992.53 = 9,992.53 : x
2. Step 2: Convert to fraction form
   5,116.50/9,992.53 = 9,992.53/x
3. Step 3: Cross multiply
   5,116.50x = 9,992.53 × 9,992.53
4. Step 4: Simplify right side
   5,116.50x = 99,850,680.78
5. Step 5: Solve for x
   x = 99,850,680.78/5,116.50
6. Step 6: Final answer
   x = 19,515.43