Finding the Third Proportional to 33,616 and 69,680

Step by Step Solution

1. Step 1: Write the proportion equation
   33,616 : 69,680 = 69,680 : x
2. Step 2: Convert to fraction form
   33,616/69,680 = 69,680/x
3. Step 3: Cross multiply
   33,616x = 69,680 × 69,680
4. Step 4: Simplify right side
   33,616x = 4,855,302,400
5. Step 5: Solve for x
   x = 4,855,302,400/33,616
6. Step 6: Final answer
   x = 144,434.27