Finding the Third Proportional to 9,809 and 14,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809 : 14,012.50 = 14,012.50 : x
2. Step 2: Convert to fraction form
   9,809/14,012.50 = 14,012.50/x
3. Step 3: Cross multiply
   9,809x = 14,012.50 × 14,012.50
4. Step 4: Simplify right side
   9,809x = 196,350,156.25
5. Step 5: Solve for x
   x = 196,350,156.25/9,809
6. Step 6: Final answer
   x = 20,017.35