Finding the Third Proportional to 2,976.75 and 5,634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,976.75 : 5,634.56 = 5,634.56 : x
2. Step 2: Convert to fraction form
   2,976.75/5,634.56 = 5,634.56/x
3. Step 3: Cross multiply
   2,976.75x = 5,634.56 × 5,634.56
4. Step 4: Simplify right side
   2,976.75x = 31,748,294.57
5. Step 5: Solve for x
   x = 31,748,294.57/2,976.75
6. Step 6: Final answer
   x = 10,665.42