Finding the Third Proportional to 9,580 and 20,032

Step by Step Solution

1. Step 1: Write the proportion equation
   9,580 : 20,032 = 20,032 : x
2. Step 2: Convert to fraction form
   9,580/20,032 = 20,032/x
3. Step 3: Cross multiply
   9,580x = 20,032 × 20,032
4. Step 4: Simplify right side
   9,580x = 401,281,024
5. Step 5: Solve for x
   x = 401,281,024/9,580
6. Step 6: Final answer
   x = 41,887.37