Finding the Third Proportional to 10,388.25 and 14,630.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.25 : 14,630.63 = 14,630.63 : x
2. Step 2: Convert to fraction form
   10,388.25/14,630.63 = 14,630.63/x
3. Step 3: Cross multiply
   10,388.25x = 14,630.63 × 14,630.63
4. Step 4: Simplify right side
   10,388.25x = 214,055,187.89
5. Step 5: Solve for x
   x = 214,055,187.89/10,388.25
6. Step 6: Final answer
   x = 20,605.51