Finding the Third Proportional to 6,849.56 and 14,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.56 : 14,738.63 = 14,738.63 : x
2. Step 2: Convert to fraction form
   6,849.56/14,738.63 = 14,738.63/x
3. Step 3: Cross multiply
   6,849.56x = 14,738.63 × 14,738.63
4. Step 4: Simplify right side
   6,849.56x = 217,227,066.89
5. Step 5: Solve for x
   x = 217,227,066.89/6,849.56
6. Step 6: Final answer
   x = 31,714.01