Finding the Third Proportional to 2,326.50 and 4,698.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326.50 : 4,698.56 = 4,698.56 : x
2. Step 2: Convert to fraction form
   2,326.50/4,698.56 = 4,698.56/x
3. Step 3: Cross multiply
   2,326.50x = 4,698.56 × 4,698.56
4. Step 4: Simplify right side
   2,326.50x = 22,076,489.57
5. Step 5: Solve for x
   x = 22,076,489.57/2,326.50
6. Step 6: Final answer
   x = 9,489.14