Finding the Third Proportional to 2,321.79 and 5,053.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,321.79 : 5,053.64 = 5,053.64 : x
2. Step 2: Convert to fraction form
   2,321.79/5,053.64 = 5,053.64/x
3. Step 3: Cross multiply
   2,321.79x = 5,053.64 × 5,053.64
4. Step 4: Simplify right side
   2,321.79x = 25,539,283.57
5. Step 5: Solve for x
   x = 25,539,283.57/2,321.79
6. Step 6: Final answer
   x = 10,999.83