Finding the Third Proportional to 9,502 and 13,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 13,978.50 = 13,978.50 : x
2. Step 2: Convert to fraction form
   9,502/13,978.50 = 13,978.50/x
3. Step 3: Cross multiply
   9,502x = 13,978.50 × 13,978.50
4. Step 4: Simplify right side
   9,502x = 195,398,462.25
5. Step 5: Solve for x
   x = 195,398,462.25/9,502
6. Step 6: Final answer
   x = 20,563.93