Finding the Third Proportional to 33,796.50 and 69,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796.50 : 69,733.50 = 69,733.50 : x
2. Step 2: Convert to fraction form
   33,796.50/69,733.50 = 69,733.50/x
3. Step 3: Cross multiply
   33,796.50x = 69,733.50 × 69,733.50
4. Step 4: Simplify right side
   33,796.50x = 4,862,761,022.25
5. Step 5: Solve for x
   x = 4,862,761,022.25/33,796.50
6. Step 6: Final answer
   x = 143,883.57