Finding the Third Proportional to 4,858.50 and 10,460.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,858.50 : 10,460.06 = 10,460.06 : x
2. Step 2: Convert to fraction form
   4,858.50/10,460.06 = 10,460.06/x
3. Step 3: Cross multiply
   4,858.50x = 10,460.06 × 10,460.06
4. Step 4: Simplify right side
   4,858.50x = 109,412,907.50
5. Step 5: Solve for x
   x = 109,412,907.50/4,858.50
6. Step 6: Final answer
   x = 22,519.89