Finding the Third Proportional to 2,914.31 and 4,634.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,914.31 : 4,634.72 = 4,634.72 : x
2. Step 2: Convert to fraction form
   2,914.31/4,634.72 = 4,634.72/x
3. Step 3: Cross multiply
   2,914.31x = 4,634.72 × 4,634.72
4. Step 4: Simplify right side
   2,914.31x = 21,480,617.89
5. Step 5: Solve for x
   x = 21,480,617.89/2,914.31
6. Step 6: Final answer
   x = 7,370.73