Finding the Third Proportional to 33,535 and 69,830

Step by Step Solution

1. Step 1: Write the proportion equation
   33,535 : 69,830 = 69,830 : x
2. Step 2: Convert to fraction form
   33,535/69,830 = 69,830/x
3. Step 3: Cross multiply
   33,535x = 69,830 × 69,830
4. Step 4: Simplify right side
   33,535x = 4,876,228,900
5. Step 5: Solve for x
   x = 4,876,228,900/33,535
6. Step 6: Final answer
   x = 145,407.15