Finding the Third Proportional to 33,536 and 69,822

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 69,822 = 69,822 : x
2. Step 2: Convert to fraction form
   33,536/69,822 = 69,822/x
3. Step 3: Cross multiply
   33,536x = 69,822 × 69,822
4. Step 4: Simplify right side
   33,536x = 4,875,111,684
5. Step 5: Solve for x
   x = 4,875,111,684/33,536
6. Step 6: Final answer
   x = 145,369.50