Finding the Third Proportional to 15,527 and 33,514

Step by Step Solution

1. Step 1: Write the proportion equation
   15,527 : 33,514 = 33,514 : x
2. Step 2: Convert to fraction form
   15,527/33,514 = 33,514/x
3. Step 3: Cross multiply
   15,527x = 33,514 × 33,514
4. Step 4: Simplify right side
   15,527x = 1,123,188,196
5. Step 5: Solve for x
   x = 1,123,188,196/15,527
6. Step 6: Final answer
   x = 72,337.75