Finding the Third Proportional to 9,776.25 and 14,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.25 : 14,008.50 = 14,008.50 : x
2. Step 2: Convert to fraction form
   9,776.25/14,008.50 = 14,008.50/x
3. Step 3: Cross multiply
   9,776.25x = 14,008.50 × 14,008.50
4. Step 4: Simplify right side
   9,776.25x = 196,238,072.25
5. Step 5: Solve for x
   x = 196,238,072.25/9,776.25
6. Step 6: Final answer
   x = 20,072.94