Finding the Third Proportional to 2,176.31 and 4,659.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.31 : 4,659.94 = 4,659.94 : x
2. Step 2: Convert to fraction form
   2,176.31/4,659.94 = 4,659.94/x
3. Step 3: Cross multiply
   2,176.31x = 4,659.94 × 4,659.94
4. Step 4: Simplify right side
   2,176.31x = 21,715,017.50
5. Step 5: Solve for x
   x = 21,715,017.50/2,176.31
6. Step 6: Final answer
   x = 9,977.89