Finding the Third Proportional to 6,182.26 and 13,594.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.26 : 13,594.71 = 13,594.71 : x
2. Step 2: Convert to fraction form
   6,182.26/13,594.71 = 13,594.71/x
3. Step 3: Cross multiply
   6,182.26x = 13,594.71 × 13,594.71
4. Step 4: Simplify right side
   6,182.26x = 184,816,165.47
5. Step 5: Solve for x
   x = 184,816,165.47/6,182.26
6. Step 6: Final answer
   x = 29,894.59