Finding the Third Proportional to 33,533 and 69,820

Step by Step Solution

1. Step 1: Write the proportion equation
   33,533 : 69,820 = 69,820 : x
2. Step 2: Convert to fraction form
   33,533/69,820 = 69,820/x
3. Step 3: Cross multiply
   33,533x = 69,820 × 69,820
4. Step 4: Simplify right side
   33,533x = 4,874,832,400
5. Step 5: Solve for x
   x = 4,874,832,400/33,533
6. Step 6: Final answer
   x = 145,374.18