Finding the Third Proportional to 10,460.50 and 14,664.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.50 : 14,664.25 = 14,664.25 : x
2. Step 2: Convert to fraction form
   10,460.50/14,664.25 = 14,664.25/x
3. Step 3: Cross multiply
   10,460.50x = 14,664.25 × 14,664.25
4. Step 4: Simplify right side
   10,460.50x = 215,040,228.06
5. Step 5: Solve for x
   x = 215,040,228.06/10,460.50
6. Step 6: Final answer
   x = 20,557.36