Finding the Third Proportional to 33,003 and 69,921

Step by Step Solution

1. Step 1: Write the proportion equation
   33,003 : 69,921 = 69,921 : x
2. Step 2: Convert to fraction form
   33,003/69,921 = 69,921/x
3. Step 3: Cross multiply
   33,003x = 69,921 × 69,921
4. Step 4: Simplify right side
   33,003x = 4,888,946,241
5. Step 5: Solve for x
   x = 4,888,946,241/33,003
6. Step 6: Final answer
   x = 148,136.42