Finding the Third Proportional to 6,185.46 and 14,586.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.46 : 14,586.89 = 14,586.89 : x
2. Step 2: Convert to fraction form
   6,185.46/14,586.89 = 14,586.89/x
3. Step 3: Cross multiply
   6,185.46x = 14,586.89 × 14,586.89
4. Step 4: Simplify right side
   6,185.46x = 212,777,378.11
5. Step 5: Solve for x
   x = 212,777,378.11/6,185.46
6. Step 6: Final answer
   x = 34,399.60