Finding the Third Proportional to 9,580 and 14,502

Step by Step Solution

1. Step 1: Write the proportion equation
   9,580 : 14,502 = 14,502 : x
2. Step 2: Convert to fraction form
   9,580/14,502 = 14,502/x
3. Step 3: Cross multiply
   9,580x = 14,502 × 14,502
4. Step 4: Simplify right side
   9,580x = 210,308,004
5. Step 5: Solve for x
   x = 210,308,004/9,580
6. Step 6: Final answer
   x = 21,952.82