Finding the Third Proportional to 33,488 and 69,154

Step by Step Solution

1. Step 1: Write the proportion equation
   33,488 : 69,154 = 69,154 : x
2. Step 2: Convert to fraction form
   33,488/69,154 = 69,154/x
3. Step 3: Cross multiply
   33,488x = 69,154 × 69,154
4. Step 4: Simplify right side
   33,488x = 4,782,275,716
5. Step 5: Solve for x
   x = 4,782,275,716/33,488
6. Step 6: Final answer
   x = 142,805.65