Finding the Third Proportional to 2,624.91 and 5,673.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.91 : 5,673.80 = 5,673.80 : x
2. Step 2: Convert to fraction form
   2,624.91/5,673.80 = 5,673.80/x
3. Step 3: Cross multiply
   2,624.91x = 5,673.80 × 5,673.80
4. Step 4: Simplify right side
   2,624.91x = 32,191,970.98
5. Step 5: Solve for x
   x = 32,191,970.98/2,624.91
6. Step 6: Final answer
   x = 12,264.05