Finding the Third Proportional to 21,774 and 32,578

Step by Step Solution

1. Step 1: Write the proportion equation
   21,774 : 32,578 = 32,578 : x
2. Step 2: Convert to fraction form
   21,774/32,578 = 32,578/x
3. Step 3: Cross multiply
   21,774x = 32,578 × 32,578
4. Step 4: Simplify right side
   21,774x = 1,061,326,084
5. Step 5: Solve for x
   x = 1,061,326,084/21,774
6. Step 6: Final answer
   x = 48,742.82