Finding the Third Proportional to 1,014.94 and 2,175.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.94 : 2,175.88 = 2,175.88 : x
2. Step 2: Convert to fraction form
   1,014.94/2,175.88 = 2,175.88/x
3. Step 3: Cross multiply
   1,014.94x = 2,175.88 × 2,175.88
4. Step 4: Simplify right side
   1,014.94x = 4,734,432.02
5. Step 5: Solve for x
   x = 4,734,432.02/1,014.94
6. Step 6: Final answer
   x = 4,664.75