Finding the Third Proportional to 33,535 and 69,824

Step by Step Solution

1. Step 1: Write the proportion equation
   33,535 : 69,824 = 69,824 : x
2. Step 2: Convert to fraction form
   33,535/69,824 = 69,824/x
3. Step 3: Cross multiply
   33,535x = 69,824 × 69,824
4. Step 4: Simplify right side
   33,535x = 4,875,390,976
5. Step 5: Solve for x
   x = 4,875,390,976/33,535
6. Step 6: Final answer
   x = 145,382.17