Finding the Third Proportional to 33,268.50 and 72,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,268.50 : 72,706.50 = 72,706.50 : x
2. Step 2: Convert to fraction form
   33,268.50/72,706.50 = 72,706.50/x
3. Step 3: Cross multiply
   33,268.50x = 72,706.50 × 72,706.50
4. Step 4: Simplify right side
   33,268.50x = 5,286,235,142.25
5. Step 5: Solve for x
   x = 5,286,235,142.25/33,268.50
6. Step 6: Final answer
   x = 158,896.11