Finding the Third Proportional to 5,756.06 and 13,312.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,756.06 : 13,312.69 = 13,312.69 : x
2. Step 2: Convert to fraction form
   5,756.06/13,312.69 = 13,312.69/x
3. Step 3: Cross multiply
   5,756.06x = 13,312.69 × 13,312.69
4. Step 4: Simplify right side
   5,756.06x = 177,227,648.47
5. Step 5: Solve for x
   x = 177,227,648.47/5,756.06
6. Step 6: Final answer
   x = 30,789.74