Finding the Third Proportional to 2,649.63 and 5,754.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.63 : 5,754.88 = 5,754.88 : x
2. Step 2: Convert to fraction form
   2,649.63/5,754.88 = 5,754.88/x
3. Step 3: Cross multiply
   2,649.63x = 5,754.88 × 5,754.88
4. Step 4: Simplify right side
   2,649.63x = 33,118,586.27
5. Step 5: Solve for x
   x = 33,118,586.27/2,649.63
6. Step 6: Final answer
   x = 12,499.35