Finding the Third Proportional to 21,580 and 32,399

Step by Step Solution

1. Step 1: Write the proportion equation
   21,580 : 32,399 = 32,399 : x
2. Step 2: Convert to fraction form
   21,580/32,399 = 32,399/x
3. Step 3: Cross multiply
   21,580x = 32,399 × 32,399
4. Step 4: Simplify right side
   21,580x = 1,049,695,201
5. Step 5: Solve for x
   x = 1,049,695,201/21,580
6. Step 6: Final answer
   x = 48,642.04