Finding the Third Proportional to 2,654.25 and 5,624.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.25 : 5,624.88 = 5,624.88 : x
2. Step 2: Convert to fraction form
   2,654.25/5,624.88 = 5,624.88/x
3. Step 3: Cross multiply
   2,654.25x = 5,624.88 × 5,624.88
4. Step 4: Simplify right side
   2,654.25x = 31,639,218.77
5. Step 5: Solve for x
   x = 31,639,218.77/2,654.25
6. Step 6: Final answer
   x = 11,920.21