Finding the Third Proportional to 4,116.75 and 8,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,116.75 : 8,749.50 = 8,749.50 : x
2. Step 2: Convert to fraction form
   4,116.75/8,749.50 = 8,749.50/x
3. Step 3: Cross multiply
   4,116.75x = 8,749.50 × 8,749.50
4. Step 4: Simplify right side
   4,116.75x = 76,553,750.25
5. Step 5: Solve for x
   x = 76,553,750.25/4,116.75
6. Step 6: Final answer
   x = 18,595.68