Finding the Third Proportional to 5,892 and 8,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,892 : 8,026.50 = 8,026.50 : x
2. Step 2: Convert to fraction form
   5,892/8,026.50 = 8,026.50/x
3. Step 3: Cross multiply
   5,892x = 8,026.50 × 8,026.50
4. Step 4: Simplify right side
   5,892x = 64,424,702.25
5. Step 5: Solve for x
   x = 64,424,702.25/5,892
6. Step 6: Final answer
   x = 10,934.27