Finding the Third Proportional to 4,659.50 and 10,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,659.50 : 10,139.25 = 10,139.25 : x
2. Step 2: Convert to fraction form
   4,659.50/10,139.25 = 10,139.25/x
3. Step 3: Cross multiply
   4,659.50x = 10,139.25 × 10,139.25
4. Step 4: Simplify right side
   4,659.50x = 102,804,390.56
5. Step 5: Solve for x
   x = 102,804,390.56/4,659.50
6. Step 6: Final answer
   x = 22,063.40