Finding the Third Proportional to 33,306 and 69,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,306 : 69,690.50 = 69,690.50 : x
2. Step 2: Convert to fraction form
   33,306/69,690.50 = 69,690.50/x
3. Step 3: Cross multiply
   33,306x = 69,690.50 × 69,690.50
4. Step 4: Simplify right side
   33,306x = 4,856,765,790.25
5. Step 5: Solve for x
   x = 4,856,765,790.25/33,306
6. Step 6: Final answer
   x = 145,822.55