Finding the Third Proportional to 33,030 and 69,291

Step by Step Solution

1. Step 1: Write the proportion equation
   33,030 : 69,291 = 69,291 : x
2. Step 2: Convert to fraction form
   33,030/69,291 = 69,291/x
3. Step 3: Cross multiply
   33,030x = 69,291 × 69,291
4. Step 4: Simplify right side
   33,030x = 4,801,242,681
5. Step 5: Solve for x
   x = 4,801,242,681/33,030
6. Step 6: Final answer
   x = 145,360.06