Finding the Third Proportional to 5,806.69 and 13,117.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,806.69 : 13,117.78 = 13,117.78 : x
2. Step 2: Convert to fraction form
   5,806.69/13,117.78 = 13,117.78/x
3. Step 3: Cross multiply
   5,806.69x = 13,117.78 × 13,117.78
4. Step 4: Simplify right side
   5,806.69x = 172,076,184.92
5. Step 5: Solve for x
   x = 172,076,184.92/5,806.69
6. Step 6: Final answer
   x = 29,634.14