Finding the Third Proportional to 6,994.25 and 13,634.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,994.25 : 13,634.25 = 13,634.25 : x
2. Step 2: Convert to fraction form
   6,994.25/13,634.25 = 13,634.25/x
3. Step 3: Cross multiply
   6,994.25x = 13,634.25 × 13,634.25
4. Step 4: Simplify right side
   6,994.25x = 185,892,773.06
5. Step 5: Solve for x
   x = 185,892,773.06/6,994.25
6. Step 6: Final answer
   x = 26,577.94