Finding the Third Proportional to 8,123.63 and 17,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123.63 : 17,624.25 = 17,624.25 : x
2. Step 2: Convert to fraction form
   8,123.63/17,624.25 = 17,624.25/x
3. Step 3: Cross multiply
   8,123.63x = 17,624.25 × 17,624.25
4. Step 4: Simplify right side
   8,123.63x = 310,614,188.06
5. Step 5: Solve for x
   x = 310,614,188.06/8,123.63
6. Step 6: Final answer
   x = 38,235.91