Finding the Third Proportional to 10,335 and 14,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,335 : 14,620.50 = 14,620.50 : x
2. Step 2: Convert to fraction form
   10,335/14,620.50 = 14,620.50/x
3. Step 3: Cross multiply
   10,335x = 14,620.50 × 14,620.50
4. Step 4: Simplify right side
   10,335x = 213,759,020.25
5. Step 5: Solve for x
   x = 213,759,020.25/10,335
6. Step 6: Final answer
   x = 20,683.02