Finding the Third Proportional to 4,877.72 and 7,129.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4,877.72 : 7,129.27 = 7,129.27 : x
2. Step 2: Convert to fraction form
   4,877.72/7,129.27 = 7,129.27/x
3. Step 3: Cross multiply
   4,877.72x = 7,129.27 × 7,129.27
4. Step 4: Simplify right side
   4,877.72x = 50,826,428.35
5. Step 5: Solve for x
   x = 50,826,428.35/4,877.72
6. Step 6: Final answer
   x = 10,420.12