Finding the Third Proportional to 2,953.13 and 5,830.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,953.13 : 5,830.31 = 5,830.31 : x
2. Step 2: Convert to fraction form
   2,953.13/5,830.31 = 5,830.31/x
3. Step 3: Cross multiply
   2,953.13x = 5,830.31 × 5,830.31
4. Step 4: Simplify right side
   2,953.13x = 33,992,543.85
5. Step 5: Solve for x
   x = 33,992,543.85/2,953.13
6. Step 6: Final answer
   x = 11,510.70