Finding the Third Proportional to 2,509.31 and 5,485.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.31 : 5,485.64 = 5,485.64 : x
2. Step 2: Convert to fraction form
   2,509.31/5,485.64 = 5,485.64/x
3. Step 3: Cross multiply
   2,509.31x = 5,485.64 × 5,485.64
4. Step 4: Simplify right side
   2,509.31x = 30,092,253.07
5. Step 5: Solve for x
   x = 30,092,253.07/2,509.31
6. Step 6: Final answer
   x = 11,992.23