Finding the Third Proportional to 5,892 and 7,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,892 : 7,147.50 = 7,147.50 : x
2. Step 2: Convert to fraction form
   5,892/7,147.50 = 7,147.50/x
3. Step 3: Cross multiply
   5,892x = 7,147.50 × 7,147.50
4. Step 4: Simplify right side
   5,892x = 51,086,756.25
5. Step 5: Solve for x
   x = 51,086,756.25/5,892
6. Step 6: Final answer
   x = 8,670.53