Finding the Third Proportional to 4,946.91 and 7,288.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,946.91 : 7,288.31 = 7,288.31 : x
2. Step 2: Convert to fraction form
   4,946.91/7,288.31 = 7,288.31/x
3. Step 3: Cross multiply
   4,946.91x = 7,288.31 × 7,288.31
4. Step 4: Simplify right side
   4,946.91x = 53,119,499.10
5. Step 5: Solve for x
   x = 53,119,499.10/4,946.91
6. Step 6: Final answer
   x = 10,737.92