Finding the Third Proportional to 33,406 and 69,565

Step by Step Solution

1. Step 1: Write the proportion equation
   33,406 : 69,565 = 69,565 : x
2. Step 2: Convert to fraction form
   33,406/69,565 = 69,565/x
3. Step 3: Cross multiply
   33,406x = 69,565 × 69,565
4. Step 4: Simplify right side
   33,406x = 4,839,289,225
5. Step 5: Solve for x
   x = 4,839,289,225/33,406
6. Step 6: Final answer
   x = 144,862.88