Finding the Third Proportional to 4,624.59 and 9,826.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,624.59 : 9,826.31 = 9,826.31 : x
2. Step 2: Convert to fraction form
   4,624.59/9,826.31 = 9,826.31/x
3. Step 3: Cross multiply
   4,624.59x = 9,826.31 × 9,826.31
4. Step 4: Simplify right side
   4,624.59x = 96,556,417.35
5. Step 5: Solve for x
   x = 96,556,417.35/4,624.59
6. Step 6: Final answer
   x = 20,878.90