Finding the Third Proportional to 6,182.89 and 14,580.73

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.89 : 14,580.73 = 14,580.73 : x
2. Step 2: Convert to fraction form
   6,182.89/14,580.73 = 14,580.73/x
3. Step 3: Cross multiply
   6,182.89x = 14,580.73 × 14,580.73
4. Step 4: Simplify right side
   6,182.89x = 212,597,814.91
5. Step 5: Solve for x
   x = 212,597,814.91/6,182.89
6. Step 6: Final answer
   x = 34,384.86