Finding the Third Proportional to 2,634.47 and 5,754.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634.47 : 5,754.66 = 5,754.66 : x
2. Step 2: Convert to fraction form
   2,634.47/5,754.66 = 5,754.66/x
3. Step 3: Cross multiply
   2,634.47x = 5,754.66 × 5,754.66
4. Step 4: Simplify right side
   2,634.47x = 33,116,068.56
5. Step 5: Solve for x
   x = 33,116,068.56/2,634.47
6. Step 6: Final answer
   x = 12,570.30