Finding the Third Proportional to 9,705 and 14,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705 : 14,605.50 = 14,605.50 : x
2. Step 2: Convert to fraction form
   9,705/14,605.50 = 14,605.50/x
3. Step 3: Cross multiply
   9,705x = 14,605.50 × 14,605.50
4. Step 4: Simplify right side
   9,705x = 213,320,630.25
5. Step 5: Solve for x
   x = 213,320,630.25/9,705
6. Step 6: Final answer
   x = 21,980.49