Finding the Third Proportional to 6,994.69 and 14,855.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,994.69 : 14,855.06 = 14,855.06 : x
2. Step 2: Convert to fraction form
   6,994.69/14,855.06 = 14,855.06/x
3. Step 3: Cross multiply
   6,994.69x = 14,855.06 × 14,855.06
4. Step 4: Simplify right side
   6,994.69x = 220,672,881.88
5. Step 5: Solve for x
   x = 220,672,881.88/6,994.69
6. Step 6: Final answer
   x = 31,548.64