Finding the Third Proportional to 4,892 and 7,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,892 : 7,773.50 = 7,773.50 : x
2. Step 2: Convert to fraction form
   4,892/7,773.50 = 7,773.50/x
3. Step 3: Cross multiply
   4,892x = 7,773.50 × 7,773.50
4. Step 4: Simplify right side
   4,892x = 60,427,302.25
5. Step 5: Solve for x
   x = 60,427,302.25/4,892
6. Step 6: Final answer
   x = 12,352.27