Finding the Third Proportional to 15,536 and 33,662

Step by Step Solution

1. Step 1: Write the proportion equation
   15,536 : 33,662 = 33,662 : x
2. Step 2: Convert to fraction form
   15,536/33,662 = 33,662/x
3. Step 3: Cross multiply
   15,536x = 33,662 × 33,662
4. Step 4: Simplify right side
   15,536x = 1,133,130,244
5. Step 5: Solve for x
   x = 1,133,130,244/15,536
6. Step 6: Final answer
   x = 72,935.78