Finding the Third Proportional to 33,588 and 69,336

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 69,336 = 69,336 : x
2. Step 2: Convert to fraction form
   33,588/69,336 = 69,336/x
3. Step 3: Cross multiply
   33,588x = 69,336 × 69,336
4. Step 4: Simplify right side
   33,588x = 4,807,480,896
5. Step 5: Solve for x
   x = 4,807,480,896/33,588
6. Step 6: Final answer
   x = 143,130.91