Finding the Third Proportional to 35,201.25 and 72,735.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,201.25 : 72,735.75 = 72,735.75 : x
2. Step 2: Convert to fraction form
   35,201.25/72,735.75 = 72,735.75/x
3. Step 3: Cross multiply
   35,201.25x = 72,735.75 × 72,735.75
4. Step 4: Simplify right side
   35,201.25x = 5,290,489,328.06
5. Step 5: Solve for x
   x = 5,290,489,328.06/35,201.25
6. Step 6: Final answer
   x = 150,292.66