Finding the Third Proportional to 5,780 and 13,066

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780 : 13,066 = 13,066 : x
2. Step 2: Convert to fraction form
   5,780/13,066 = 13,066/x
3. Step 3: Cross multiply
   5,780x = 13,066 × 13,066
4. Step 4: Simplify right side
   5,780x = 170,720,356
5. Step 5: Solve for x
   x = 170,720,356/5,780
6. Step 6: Final answer
   x = 29,536.39