Finding the Third Proportional to 9,565 and 14,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565 : 14,914.50 = 14,914.50 : x
2. Step 2: Convert to fraction form
   9,565/14,914.50 = 14,914.50/x
3. Step 3: Cross multiply
   9,565x = 14,914.50 × 14,914.50
4. Step 4: Simplify right side
   9,565x = 222,442,310.25
5. Step 5: Solve for x
   x = 222,442,310.25/9,565
6. Step 6: Final answer
   x = 23,255.86