Finding the Third Proportional to 6,182.81 and 13,699.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.81 : 13,699.88 = 13,699.88 : x
2. Step 2: Convert to fraction form
   6,182.81/13,699.88 = 13,699.88/x
3. Step 3: Cross multiply
   6,182.81x = 13,699.88 × 13,699.88
4. Step 4: Simplify right side
   6,182.81x = 187,686,575.02
5. Step 5: Solve for x
   x = 187,686,575.02/6,182.81
6. Step 6: Final answer
   x = 30,356.18