Finding the Third Proportional to 33,303.50 and 69,686

Step by Step Solution

1. Step 1: Write the proportion equation
   33,303.50 : 69,686 = 69,686 : x
2. Step 2: Convert to fraction form
   33,303.50/69,686 = 69,686/x
3. Step 3: Cross multiply
   33,303.50x = 69,686 × 69,686
4. Step 4: Simplify right side
   33,303.50x = 4,856,138,596
5. Step 5: Solve for x
   x = 4,856,138,596/33,303.50
6. Step 6: Final answer
   x = 145,814.66