Finding the Third Proportional to 35,235 and 72,798

Step by Step Solution

1. Step 1: Write the proportion equation
   35,235 : 72,798 = 72,798 : x
2. Step 2: Convert to fraction form
   35,235/72,798 = 72,798/x
3. Step 3: Cross multiply
   35,235x = 72,798 × 72,798
4. Step 4: Simplify right side
   35,235x = 5,299,548,804
5. Step 5: Solve for x
   x = 5,299,548,804/35,235
6. Step 6: Final answer
   x = 150,405.81