Finding the Third Proportional to 33,166.50 and 69,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,166.50 : 69,409.50 = 69,409.50 : x
2. Step 2: Convert to fraction form
   33,166.50/69,409.50 = 69,409.50/x
3. Step 3: Cross multiply
   33,166.50x = 69,409.50 × 69,409.50
4. Step 4: Simplify right side
   33,166.50x = 4,817,678,690.25
5. Step 5: Solve for x
   x = 4,817,678,690.25/33,166.50
6. Step 6: Final answer
   x = 145,257.37