Finding the Third Proportional to 6,323.06 and 13,820.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,323.06 : 13,820.63 = 13,820.63 : x
2. Step 2: Convert to fraction form
   6,323.06/13,820.63 = 13,820.63/x
3. Step 3: Cross multiply
   6,323.06x = 13,820.63 × 13,820.63
4. Step 4: Simplify right side
   6,323.06x = 191,009,675.39
5. Step 5: Solve for x
   x = 191,009,675.39/6,323.06
6. Step 6: Final answer
   x = 30,208.41