Finding the Third Proportional to 5,158.69 and 7,892.44

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.69 : 7,892.44 = 7,892.44 : x
2. Step 2: Convert to fraction form
   5,158.69/7,892.44 = 7,892.44/x
3. Step 3: Cross multiply
   5,158.69x = 7,892.44 × 7,892.44
4. Step 4: Simplify right side
   5,158.69x = 62,290,569.69
5. Step 5: Solve for x
   x = 62,290,569.69/5,158.69
6. Step 6: Final answer
   x = 12,074.89