Finding the Third Proportional to 9,806.25 and 14,965.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.25 : 14,965.88 = 14,965.88 : x
2. Step 2: Convert to fraction form
   9,806.25/14,965.88 = 14,965.88/x
3. Step 3: Cross multiply
   9,806.25x = 14,965.88 × 14,965.88
4. Step 4: Simplify right side
   9,806.25x = 223,977,414.52
5. Step 5: Solve for x
   x = 223,977,414.52/9,806.25
6. Step 6: Final answer
   x = 22,840.27