Finding the Third Proportional to 6,549.61 and 14,141.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,549.61 : 14,141.46 = 14,141.46 : x
2. Step 2: Convert to fraction form
   6,549.61/14,141.46 = 14,141.46/x
3. Step 3: Cross multiply
   6,549.61x = 14,141.46 × 14,141.46
4. Step 4: Simplify right side
   6,549.61x = 199,980,917.45
5. Step 5: Solve for x
   x = 199,980,917.45/6,549.61
6. Step 6: Final answer
   x = 30,533.26