Finding the Third Proportional to 33,809 and 69,982

Step by Step Solution

1. Step 1: Write the proportion equation
   33,809 : 69,982 = 69,982 : x
2. Step 2: Convert to fraction form
   33,809/69,982 = 69,982/x
3. Step 3: Cross multiply
   33,809x = 69,982 × 69,982
4. Step 4: Simplify right side
   33,809x = 4,897,480,324
5. Step 5: Solve for x
   x = 4,897,480,324/33,809
6. Step 6: Final answer
   x = 144,857.30