Finding the Third Proportional to 33,409.50 and 71,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,409.50 : 71,188.50 = 71,188.50 : x
2. Step 2: Convert to fraction form
   33,409.50/71,188.50 = 71,188.50/x
3. Step 3: Cross multiply
   33,409.50x = 71,188.50 × 71,188.50
4. Step 4: Simplify right side
   33,409.50x = 5,067,802,532.25
5. Step 5: Solve for x
   x = 5,067,802,532.25/33,409.50
6. Step 6: Final answer
   x = 151,687.47