Finding the Third Proportional to 33,535.50 and 69,825

Step by Step Solution

1. Step 1: Write the proportion equation
   33,535.50 : 69,825 = 69,825 : x
2. Step 2: Convert to fraction form
   33,535.50/69,825 = 69,825/x
3. Step 3: Cross multiply
   33,535.50x = 69,825 × 69,825
4. Step 4: Simplify right side
   33,535.50x = 4,875,530,625
5. Step 5: Solve for x
   x = 4,875,530,625/33,535.50
6. Step 6: Final answer
   x = 145,384.16