Finding the Third Proportional to 2,693.25 and 5,914.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,693.25 : 5,914.69 = 5,914.69 : x
2. Step 2: Convert to fraction form
   2,693.25/5,914.69 = 5,914.69/x
3. Step 3: Cross multiply
   2,693.25x = 5,914.69 × 5,914.69
4. Step 4: Simplify right side
   2,693.25x = 34,983,528.22
5. Step 5: Solve for x
   x = 34,983,528.22/2,693.25
6. Step 6: Final answer
   x = 12,989.34