Finding the Third Proportional to 33,780 and 69,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 69,004.50 = 69,004.50 : x
2. Step 2: Convert to fraction form
   33,780/69,004.50 = 69,004.50/x
3. Step 3: Cross multiply
   33,780x = 69,004.50 × 69,004.50
4. Step 4: Simplify right side
   33,780x = 4,761,621,020.25
5. Step 5: Solve for x
   x = 4,761,621,020.25/33,780
6. Step 6: Final answer
   x = 140,959.77