Finding the Third Proportional to 21,578 and 32,565

Step by Step Solution

1. Step 1: Write the proportion equation
   21,578 : 32,565 = 32,565 : x
2. Step 2: Convert to fraction form
   21,578/32,565 = 32,565/x
3. Step 3: Cross multiply
   21,578x = 32,565 × 32,565
4. Step 4: Simplify right side
   21,578x = 1,060,479,225
5. Step 5: Solve for x
   x = 1,060,479,225/21,578
6. Step 6: Final answer
   x = 49,146.32