Finding the Third Proportional to 4,126.50 and 9,730.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,126.50 : 9,730.69 = 9,730.69 : x
2. Step 2: Convert to fraction form
   4,126.50/9,730.69 = 9,730.69/x
3. Step 3: Cross multiply
   4,126.50x = 9,730.69 × 9,730.69
4. Step 4: Simplify right side
   4,126.50x = 94,686,279.22
5. Step 5: Solve for x
   x = 94,686,279.22/4,126.50
6. Step 6: Final answer
   x = 22,945.91