Finding the Third Proportional to 15,578 and 32,262

Step by Step Solution

1. Step 1: Write the proportion equation
   15,578 : 32,262 = 32,262 : x
2. Step 2: Convert to fraction form
   15,578/32,262 = 32,262/x
3. Step 3: Cross multiply
   15,578x = 32,262 × 32,262
4. Step 4: Simplify right side
   15,578x = 1,040,836,644
5. Step 5: Solve for x
   x = 1,040,836,644/15,578
6. Step 6: Final answer
   x = 66,814.52